[ { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "37", "question": "निम्न यौगिकों को उनकी घटती अम्लता के क्रम में व्यवस्थित कीजिए।", "options": [ "II > IV > I > III", "I > II > III > IV", "III > I > II > IV", "IV > III > I > II" ], "answer": 0, "image_png": "image_JEE_Main_2013_37_page18.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "80", "question": "इस छवि में दिखाए गए अभिव्यक्ति के प्रसार में \\( x \\) से स्वतंत्र पद है :", "options": [ "4", "120", "210", "310" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_80.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "82", "question": "माना एक n-भुजाओं वाली समबहुभुज के शीर्षों को मिलाकर बनने वाले सभी संभव त्रिभुजों की संख्या Tn है। यदि इस छवि में दिखाए गए समीकरण के अनुसार है, तो n का मान है :", "options": [ "7", "5", "10", "8" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_82.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "27", "question": "एक त्रिभुजाकार प्रिज्म के लिये विचलन कोण (δ) और आपतन कोण (i) के बीच ग्राफ इससे दर्शाया जाता है :", "options": [ "image_JEE_Main_2013_option_27_page14.png", "image_JEE_Main_2013_option_27_page14_1.png", "image_JEE_Main_2013_option_27_page14_2.png", "image_JEE_Main_2013_option_27_page14_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "15", "question": "उपरोक्त p-v चित्र एक आदर्श एकपरमाणुक गैस से कार्य कर रहे एक इंजन के ऊष्मागतिक चक्र को दर्शाता है। एक चक्र में स्रोत से ली गई ऊष्मा की मात्रा है:", "options": [ "p₀v₀", "\\(\\frac{13}{2}\\) p₀v₀", "\\(\\frac{11}{2}\\) p₀v₀", "4p₀v₀" ], "answer": 1, "image_png": "image_JEE_Main_2013_15_page7.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "13", "question": "एक तीव्रता I₀ की अधूवित प्रकाश का पुंज एक पोलरायड A से गुजरता है और फिर उसे एक दूसरे पोलरायड B से गुजारा जाता है। B का मुख्य तल A के मुख्य तल से 45° का कोण बनाता है। निर्गत प्रकाश की तीव्रता इस छवि में दिखाए गए समीकरण के अनुसार है।", "options": [ "I₀", "I₀/2", "I₀/4", "I₀/8" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_13.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "30", "question": "आवेश Q को लम्बाई L की एक लम्बी छड़ AB पर एकसमान रूप से वितरित किया गया है, जैसा कि चित्र में दर्शाया गया है। फिर A से L दूरी पर बिन्दु O पर विद्युत विभव है :", "options": [ "Q/8πε₀L", "3Q/4πε₀L", "Q/4πε₀L ln2", "Qln2/4πε₀L" ], "answer": 3, "image_png": "image_JEE_Main_2013_30_page15.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "83", "question": "यदि \\( z \\) एक ऐसी सम्मिश्र संख्या है जिसका मापांक एक इकाई है तथा कोणांक \\( \\theta \\) है, तो इस छवि में दिखाए गए अभिव्यक्ति का कोणांक बराबर है :", "options": [ "-θ", "\\(\\frac{\\pi}{2}\\) - θ", "θ", "π - θ" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_83.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "85", "question": "यदि इस छवि में दिखाए गए P एक 3×3 ऐजॉइंट A का सहयोजक है तथा |A|=4 है, तो α बराबर है :", "options": [ "4", "11", "5", "0" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_85.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "51", "question": "एक इलेक्ट्रॉन की ऊर्जा को इस प्रकार प्रस्तुत किया जाता है - इस छवि में दिखाए गए समीकरण के अनुसार। प्रकाश की तरंगदैर्घ्य हाइड्रोजन परमाणु में एक इलेक्ट्रॉन को n = 1 से n = 2 स्तर पर उत्तेजित करने के लिये आवश्यक होगी :", "options": [ "1.214 x 10^-7 m", "2.816 x 10^-7 m", "6.500 x 10^-7 m", "8.500 x 10^-7 m" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_51.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "24", "question": "एक LED की I-V विशेषता है :", "options": [ "image_JEE_Main_2013_option_24_page12.png", "image_JEE_Main_2013_option_24_page12_1.png", "image_JEE_Main_2013_option_24_page12_2.png", "image_JEE_Main_2013_option_24_page12_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "64", "question": "यदि रेखाएँ इस छवि में दिखाए गए समीकरण तथा \\( \\frac{x-1}{k} = \\frac{y-4}{2} = \\frac{z-5}{1} \\) समतलीय हैं, तो k का :", "options": [ "कोई भी मान संभव है।", "केवल एक मान संभव है।", "केवल दो मान संभव हैं।", "केवल तीन मान संभव हैं।" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_64.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "65", "question": "यदि सदिश छवि में दिखाए गए \\( \\overrightarrow{AB} \\) तथा \\( \\overrightarrow{AC} \\) एक त्रिभुज ABC की भुजाएँ हैं, तो A से होकर जाती हुई माध्यिका की लम्बाई है :", "options": [ "\\( \\sqrt{18} \\)", "\\( \\sqrt{72} \\)", "\\( \\sqrt{33} \\)", "\\( \\sqrt{45} \\)" ], "answer": 3, "image_png": "image_JEE_Main_2013_equation_65.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "66", "question": "वास्तविक संख्या k, जिसके लिए [0, 1] में छवि में दिखाए गए समीकरण के दो भिन्न वास्तविक मूल हैं,", "options": [ "1 तथा 2 के बीच में स्थित है।", "2 तथा 3 के बीच स्थित है।", "-1 तथा 0 के बीच स्थित है।", "का अस्तित्व नहीं है।" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_66.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "लम्बाई 'l' की एक धातु की छड़ लम्बाई 2l की एक डोरी से बंधी है और डोरी के एक सिरे को स्थिर रख कर इसे कोणीय चाल ω से घूर्णित किया जाता है। यदि क्षेत्र में एक ऊर्ध्वाधर चुंबकीय क्षेत्र 'B' है, तब छड़ के सिरों पर प्रेरित विद्युत वाहक बल है:", "options": [ "2Bωl²/2", "3Bωl²/2", "4Bωl²/2", "5Bωl²/2" ], "answer": 3, "image_png": "image_JEE_Main_2013_2_page1.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "52", "question": "यौगिक (A), C8H9Br ऐल्कोहॉलिक AgNO3 के साथ गर्म करने पर एक सफेद अवक्षेप देता है। (A) के उपचयन से एक अम्ल (B), C8H6O4 प्राप्त होता है। (B) गर्म करने पर सरलता से एनहाइड्राइड बना देता है। यौगिक (A) की पहचान कीजिए।", "options": [ "image_JEE_Main_2013_option_52_page24.png", "image_JEE_Main_2013_option_52_page24_1.png", "image_JEE_Main_2013_option_52_page24_2.png", "image_JEE_Main_2013_option_52_page24_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "75", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?", "options": [ "-1/4", "1/2", "1", "2" ], "answer": 3, "image_png": "image_JEE_Main_2013_equation_75.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "76", "question": "कथन - I : इस छवि में दिखाए गए समाकलन का मान π/6 है।", "options": [ "image_JEE_Main_2013_equation_76_choice_0.png", "image_JEE_Main_2013_equation_76_choice_1.png", "image_JEE_Main_2013_equation_76_choice_2.png", "image_JEE_Main_2013_equation_76_choice_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2013_equation_76.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "77", "question": "दी गई छवि में दिखाए गए दीर्घवृत्त की नाभियों से होकर जाने वाले उस वृत्त, जिसका केंद्र (0, 3) है, का समीकरण है :", "options": [ "image_JEE_Main_2013_equation_77_choice_0.png", "image_JEE_Main_2013_equation_77_choice_1.png", "image_JEE_Main_2013_equation_77_choice_2.png", "image_JEE_Main_2013_equation_77_choice_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_77.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "56", "question": "एक कार्बनिक यौगिक A, NH₃ के साथ क्रिया करने पर B देता है, जो गर्म करने पर C देता है। KOH की उपस्थिति में C, Br₂ के साथ क्रिया करके CH₃CH₂NH₂ देता है। A है:", "options": [ "image_JEE_Main_2013_option_56_page25.png", "image_JEE_Main_2013_option_56_page25_1.png", "image_JEE_Main_2013_option_56_page25_2.png", "image_JEE_Main_2013_option_56_page25_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "57", "question": "स्थिरता Li₂, Li₂⁻ और Li₂⁺ की स्थिरता का बढ़ता क्रम है:", "options": [ "image_JEE_Main_2013_equation_57_choice_0.png", "image_JEE_Main_2013_equation_57_choice_1.png", "image_JEE_Main_2013_equation_57_choice_2.png", "image_JEE_Main_2013_equation_57_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "68", "question": "x + \\(\\sqrt{3}\\)y = \\(\\sqrt{3}\\) की दिशा में जाती हुई एक प्रकाश की किरण x-अक्ष पर पहुँच कर परावर्तित हो जाती है। इस परावर्तित किरण का समीकरण है :", "options": [ "image_JEE_Main_2013_equation_68_choice_0.png", "image_JEE_Main_2013_equation_68_choice_1.png", "image_JEE_Main_2013_equation_68_choice_2.png", "image_JEE_Main_2013_equation_68_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "69", "question": "k के उन मानों की संख्या, जिनके लिए इस छवि में दिखाए गए समीकरण निकाय का कोई हल नहीं है, है :", "options": [ "अनंत", "1", "2", "3" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_69.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "5", "question": "एक प्रक्षेप्य को एक प्रारंभिक वेग इस छवि में दिखाए गए वेक्टर m/s दिया जाता है, जहाँ \\( \\hat{i} \\) भूमि के साथ है और \\( \\hat{j} \\) ऊर्ध्वाधर पर। यदि g = 10 m/s², तब प्रक्षेप पथ का समीकरण है :", "options": [ "image_JEE_Main_2013_equation_5_choice_0.png", "image_JEE_Main_2013_equation_5_choice_1.png", "image_JEE_Main_2013_equation_5_choice_2.png", "image_JEE_Main_2013_equation_5_choice_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_5.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "दो संधारित्र C₁ एवं C₂ क्रमशः 120 V एवं 200 V पर आवेशित किये गये हैं। यह पाया जाता है कि उन्हें एक दूसरे से जोड़ देने पर प्रत्येक पर विभव शून्य किया जा सकता है। तब :", "options": [ "image_JEE_Main_2013_equation_7_choice_0.png", "image_JEE_Main_2013_equation_7_choice_1.png", "image_JEE_Main_2013_equation_7_choice_2.png", "image_JEE_Main_2013_equation_7_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "20", "question": "नीचे दर्शाये गये एक LCR परिपथ में प्रारम्भ में दोनों स्विच खुले हैं। अब स्विच S1 को बन्द किया जाता है, S2 को खुला रखा जाता है (संघारक पर आवेश q है और τ = RC धारिता समय नियतांक है)। निम्नलिखित में से कौन सा कथन सही है?", "options": [ "बैटरी द्वारा किया गया कार्य प्रतिरोधक में हुई ऊर्जा क्षय का आधा है।", "t = τ पर, q = CV/2", "t = 2τ पर, q = CV(1 - e^-2)", "t = τ/2 पर, q = CV(1 - e^-1)" ], "answer": 2, "image_png": "image_JEE_Main_2013_20_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "दो कलामानक बिन्दु स्रोत S1 एवं S2 एक लघु दूरी 'd' द्वारा एक दूसरे से दूर हैं जैसा कि चित्र में दर्शाया गया है। पर्दे पर देखी गई फ्रिन्जे हैं:", "options": [ "बिन्दु", "सरल रेखाएँ", "अर्द्धवृत्त", "समकेन्द्रित वृत्त" ], "answer": 3, "image_png": "image_JEE_Main_2013_21_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "70", "question": "यदि छवि में दिखाए गए समीकरण तथा ax² + bx + c = 0, a, b, c ∈ R, का एक मूल समान है, तो a : b : c है :", "options": [ "1 : 2 : 3", "3 : 2 : 1", "1 : 3 : 2", "3 : 1 : 2" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_70.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "72", "question": "यदि x, y, z एक समान्तर श्रेणी में हैं तथा tan⁻¹x, tan⁻¹y तथा tan⁻¹z भी समान्तर श्रेणी में हैं, तो :", "options": [ "image_JEE_Main_2013_equation_72_choice_0.png", "image_JEE_Main_2013_equation_72_choice_1.png", "image_JEE_Main_2013_equation_72_choice_2.png", "image_JEE_Main_2013_equation_72_choice_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "60", "question": "प्रयोग के आधार पर एक धातु ऑक्साइड का सूत्र इस छवि में दिखाए गए रूप में पाया गया। यदि धातु इस ऑक्साइड में M²⁺ और M³⁺ के रूप में वर्तमान हो तो धातु का जो अंश M³⁺ के रूप में होगा वह है :", "options": [ "7.01%", "4.08%", "6.05%", "5.08%" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_60.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "61", "question": "दो समांतर समतल इस छवि में दिखाए गए समीकरणों के बीच की दूरी है :", "options": [ "3/2", "5/2", "7/2", "9/2" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_61.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "62", "question": "वर्तमान में एक फर्म 2000 नग बना रही है। यह अनुमान लगाया गया है कि अतिरिक्त कामगारों की संख्या x के साथ उत्पादन P के परिवर्तन की दर इस छवि में दिखाए गए समीकरण द्वारा प्रदत्त है। यदि फर्म 25 कामगार अधिक लगाती है, तो नगों के उत्पादन का नया स्तर है :", "options": [ "2500", "3000", "3500", "4500" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_62.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "reasoning", "category_original_lang": "तर्कशक्ति", "original_question_num": "73", "question": "विचार कीजिए : कथन - I : इस छवि में दिखाए गए कथन असत्य है। कथन - II : (p → q)↔(∼ q → ∼ p) सत्य है।", "options": [ "कथन - I सत्य है; कथन - II सत्य है; कथन - II कथन - I की सही व्याख्या है।", "कथन - I सत्य है; कथन - II सत्य है; कथन - II कथन - I की सही व्याख्या नहीं है।", "कथन - I सत्य है, कथन - II असत्य है।", "कथन - I असत्य है, कथन - II सत्य है।" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_73.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "74", "question": "यदि ∫f(x)dx = Ψ(x) है, तो इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?", "options": [ "image_JEE_Main_2013_equation_74_choice_0.png", "image_JEE_Main_2013_equation_74_choice_1.png", "image_JEE_Main_2013_equation_74_choice_2.png", "image_JEE_Main_2013_equation_74_choice_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_74.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "23", "question": "एक फोटोसेल की एनोड वोल्टता नियत है। कैथोड पर आपतित प्रकाश की तरंगदैर्ध्य λ धीरे-धीरे परिवर्तित की जाती है। फोटोसेल की प्लेट धारा I इस प्रकार परिवर्तित होती है :", "options": [ "image_JEE_Main_2013_option_23_page11.png", "image_JEE_Main_2013_option_23_page11_1.png", "image_JEE_Main_2013_option_23_page11_2.png", "image_JEE_Main_2013_option_23_page11_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "3", "question": "इस प्रश्न में कथन I एवं कथन II दिये हुये हैं। कथनों के पश्चात् दिये गये चार विकल्पों में से, उस विकल्प को चुनिये जो कि दिये गये कथनों का सर्वोत्तम वर्णन करता है। कथन - I : चाल v से गतिशील द्रव्यमान m का एक बिंदु कण स्थिर द्रव्यमान M के एक बिंदु कण से संघट्ट करता है। यदि सम्भव अधिकतम ऊर्जा क्षय दिया जाता है f(1/2 mv^2) से, तब f = इस छवि में दिखाए गए समीकरण के अनुसार। कथन - II : अधिकतम ऊर्जा क्षय तभी होता है जब संघट्ट के परिणामस्वरूप कण एक दूसरे से चिपक जाते हैं।", "options": [ "कथन - I सत्य है, कथन - II सत्य है, कथन - II कथन - I की सही व्याख्या करता है।", "कथन - I सत्य है, कथन - II सत्य है, कथन - II कथन - I की सही व्याख्या नहीं करता है।", "कथन - I सत्य है, कथन - II गलत है।", "कथन - I गलत है, कथन - II सत्य है।" ], "answer": 3, "image_png": "image_JEE_Main_2013_equation_3.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "86", "question": "इस छवि में दिखाए गए अभिव्यक्ति पर रेखा \\( y = 2x \\) के समानांतर खींची गई स्पर्श रेखाओं द्वारा x-अक्ष पर बने अंतःखण्ड बराबर हैं।", "options": [ "±1", "±2", "±3", "±4" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_86.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "87", "question": "दिया है: एक वृत्त, इस छवि में दिखाए गए समीकरण के अनुसार तथा एक परवलय \\( y^2 = 4\\sqrt{5} x \\)। कथन - I: इन वक्रों की एक सामान्य स्पर्श रेखा का समीकरण \\( y = x + \\sqrt{5} \\) है। कथन - II: यदि रेखा \\( y = mx + \\frac{\\sqrt{5}}{m} \\) (m ≠ 0) उनकी सामान्य स्पर्श रेखा है, तो m, \\( m^4 - 3m^2 + 2 = 0 \\) को संतुष्ट करता है।", "options": [ "image_JEE_Main_2013_equation_87_choice_0.png", "image_JEE_Main_2013_equation_87_choice_1.png", "image_JEE_Main_2013_equation_87_choice_2.png", "image_JEE_Main_2013_equation_87_choice_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_87.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "42", "question": "निम्न कार्बोकैटायनों की स्थिरता का क्रम है :", "options": [ "III > II > I", "II > III > I", "I > II > III", "III > I > II" ], "answer": 3, "image_png": "image_JEE_Main_2013_42_page20.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "43", "question": "निम्नलिखित अभिक्रिया पर विचार कीजिए: इस छवि में दिखाए गए अभिक्रिया में x, y तथा z के मान क्रमशः हैं।", "options": [ "5, 2 तथा 16", "2, 5 तथा 8", "2, 5 तथा 16", "5, 2 तथा 8" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_43.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "18", "question": "यदि धातु के एक टुकड़े को तापमान θ तक गर्म किया जाता है और फिर एक कमरे में, जिसका तापमान θ₀ है, ठंडा होने दिया जाता है, तब धातु के तापमान T और समय t के बीच ग्राफ इसके अधिकतम समीप है :", "options": [ "image_JEE_Main_2013_option_18_page9.png", "image_JEE_Main_2013_option_18_page9_1.png", "image_JEE_Main_2013_option_18_page9_2.png", "image_JEE_Main_2013_option_18_page9_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "11", "question": "द्रव्यमान M एवं त्रिज्या R के एक ग्रह के पृष्ठ से द्रव्यमान m के एक उपग्रह को 2R ऊँचाई पर वृतीय कक्षा में स्थापित करने के लिये न्यूनतम ऊर्जा आवश्यक है, जो इस छवि में दिखाए गए समीकरण के बराबर है।", "options": [ "5GmM/6R", "2GmM/3R", "GmM/2R", "GmM/3R" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_11.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "35", "question": "37.0°C पर एक आदर्श गैस के 0.04 मोल से भरा हुआ पिस्टन 50.0 mL से 375 mL तक फैलता है। ऐसा होने में ऊष्मा का 208J सोखित होता है। q और w के मान क्रमशः लिखे होंगे :", "options": [ "image_JEE_Main_2013_equation_35_choice_0.png", "image_JEE_Main_2013_equation_35_choice_1.png", "image_JEE_Main_2013_equation_35_choice_2.png", "image_JEE_Main_2013_equation_35_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "8", "question": "लम्बाई 1.5 m का एक सोनोमीटर तार स्टील का बना है। इसमें एक तनाव 1% की प्रत्यास्थ विकृति उत्पन्न करता है। यदि स्टील के घनत्व और प्रत्यास्थता गुणांक इस छवि में दिखाए गए हैं तब स्टील के तार की मूल आवृत्ति क्या है?", "options": [ "188.5 Hz", "178.2 Hz", "200.5 Hz", "770 Hz" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_8.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "9", "question": "कोबाल्ट (III) क्लोराइड हेक्साहाइड्रेट और सिल्वर नाइट्रेट से जुड़ी दी गई प्रतिक्रिया में, कितने आयन अवक्षेपित होते हैं? विवरण के लिए दिए गए समीकरण का संदर्भ लें।.", "options": [ "9.1×10⁻¹¹ वेबर", "6×10⁻¹¹ वेबर", "3.3×10⁻¹¹ वेबर", "6.6×10⁻⁹ वेबर" ], "answer": 0, "image_png": "image_JEE_Main_2013_equation_9.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "एक ऊर्ध्वाधर बेलनाकार पात्र में रखी एक आदर्श गैस एक द्रव्यमान M के स्वतन्त्र रूप से गतिशील पिस्टन को आधार देती है। पिस्टन और बेलन के अनुप्रस्थ परिश्छेद क्षेत्रफल एकसमान A हैं। जब पिस्टन साम्यावस्था में है, तब गैस का आयतन V₀ है और इसका दाब P₀ है। पिस्टन को इसकी साम्यावस्था स्थिति से थोड़ा सा विस्थापित किया जाता है और फिर छोड़ दिया जाता है। यह मान लें कि पिस्टन अपने परिवेश से पूर्णतः पृथक है, तब पिस्टन इस आवृति की सरल आवर्त गति करेगा, जो छवि में दर्शाई गई है।", "options": [ "1/(2π) √(AγP₀/V₀M)", "1/(2π) √(V₀MP₀/A²γ)", "1/(2π) √(A²γP₀/MV₀)", "1/(2π) √(MV₀/AγP₀)" ], "answer": 2, "image_png": "image_JEE_Main_2013_equation_17.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "jee-main-paper-1-2013-hindi-p", "source": "https://www.resonance.ac.in/answer-key-solutions/JEE-Main/2013/answer-key/jee-main-paper-1-2013-hindi-p.pdf", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "89", "question": "इस छवि में दिखाए गए व्यंजक को लिखा जा सकता है :", "options": [ "\\(\\sin A \\cos A + 1\\)", "\\(\\sec A \\cosec A + 1\\)", "\\(\\tan A + \\cot A\\)", "\\(\\sec A + \\cosec A\\)" ], "answer": 1, "image_png": "image_JEE_Main_2013_equation_89.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "26", "question": "रेखा की प्रवणता ज्ञात करने के लिए, दिए गए परवलय y² = 4x का उपयोग करें।", "options": [ "3/2", "1/8", "2/3", "1/2" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_26.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "28", "question": "माना किसी समय \\( t \\) पर जीवित खरगोशों की जनसंख्या अवकल समीकरण इस छवि में दिखाए गए समीकरण द्वारा निर्धारित है। यदि \\( p(0) = 100 \\) है, तो \\( p(t) \\) बराबर है :", "options": [ "300 - 200 e⁻ᵗ/²", "600 - 500 eᵗ/²", "400 - 300 e⁻ᵗ/²", "400 - 300 eᵗ/²" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_28.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "14", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार है, तो λ बराबर है:", "options": [ "3", "0", "1", "2" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_14.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "16", "question": "मान PS एक त्रिभुज की माध्यिका है जिसके शीर्ष P(2, 2), Q(6, -1) तथा R(7, 3) हैं। (1, -1) से होकर जाने वाली रेखा, जो PS के समान्तर है, का समीकरण है :", "options": [ "image_JEE_Main_2014_equation_16_choice_0.png", "image_JEE_Main_2014_equation_16_choice_1.png", "image_JEE_Main_2014_equation_16_choice_2.png", "image_JEE_Main_2014_equation_16_choice_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "70", "question": "सांद्रण C पर और अनन्त तनुता पर NaCl विलयन की इक्क्विवैलेन्ट चालकता को λC और λ∞ मानते हुए उनका आपसी सम्बन्ध लिखा जा सकता है :", "options": [ "image_JEE_Main_2014_equation_70_choice_0.png", "image_JEE_Main_2014_equation_70_choice_1.png", "image_JEE_Main_2014_equation_70_choice_2.png", "image_JEE_Main_2014_equation_70_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "72", "question": "0.500 M C2H5OH (जलीय), 0.100 M (छवि में दिखाए गए यौगिक) (जलीय), 0.250 M KBr (जलीय) और 0.125 M Na3PO4 (जलीय) विलयनों को 25°C पर क्षार विद्युत् मानते हुए सभी नमकीन को प्रबल इलेक्ट्रोलाइट्स मानते हुए निम्न कथनों में से कौन-सा कथन यथार्थ है?", "options": [ "0.500 M C2H5OH (जलीय) का आसमाटिक दाब उच्चतम होगा।", "इन सब के लिये आसमाटिक दाब का मान समान होगा।", "0.100 M Mg3(PO4)2 (जलीय) का आसमाटिक दाब उच्चतम होगा।", "0.125 M Na3PO4 (जलीय) का आसमाटिक दाब उच्चतम होगा।" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_72.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "60", "question": "द्विपरमाणुक आदर्श गैस का एक मोल चक्रीय प्रक्रिया ABC से गुजरता है जैसा कि चित्र में दर्शाया गया है। प्रक्रिया BC रुद्धोष्म है। A, B एवं C के तापमान क्रमशः 400 K, 800 K एवं 600 K हैं। सही कथन चुनिये:", "options": [ "प्रक्रिया BC में आंतरिक ऊर्जा में परिवर्तन -500 R है।", "सम्पूर्ण चक्रीय प्रक्रिया में आंतरिक ऊर्जा में परिवर्तन 250 R है।", "प्रक्रिया CA में आंतरिक ऊर्जा में परिवर्तन 700 R है।", "प्रक्रिया AB में आंतरिक ऊर्जा में परिवर्तन -350 R है।" ], "answer": 0, "image_png": "image_JEE_Main_2014_60_page27.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "58", "question": "मान लें व्योम में एक विद्युत क्षेत्र इस छवि में दिखाए गए रूप में मौजूद है। तब विभवांतर V_A - V_O, जहाँ V_O मूलबिन्दु पर विभव एवं V_A x = 2 m पर विभव हैं, है :", "options": [ "80 J", "120 J", "-120 J", "-80 I" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_58.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "24", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार \\( k \\) का मान \\( k (10)^9 \\) है, तो \\( k \\) बराबर है :", "options": [ "441 / 100", "100", "110", "121 / 10" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_24.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "12", "question": "यदि इस छवि में दिखाए गए अभिव्यक्ति के x के घातों में प्रसार में x³ तथा x⁴, दोनों के गुणांक शून्य हैं, तो (a, b) के बराबर हैं :", "options": [ "(14, 251/3)", "(14, 272/3)", "(16, 272/3)", "(16, 251/3)" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "13", "question": "मान a, b, c तथा d शून्येतर संख्याएं हैं। यदि रेखाओं 4ax + 2ay + c = 0 तथा 5bx + 2by + d = 0 का प्रतिच्छेद बिंदु चतुर्थांश में है तथा दोनों अक्षों से समदूरस्थ है, तो :", "options": [ "image_JEE_Main_2014_equation_13_choice_0.png", "image_JEE_Main_2014_equation_13_choice_1.png", "image_JEE_Main_2014_equation_13_choice_2.png", "image_JEE_Main_2014_equation_13_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "89", "question": "यदि Z संपीडन गुणांक है तो कम दबाव पर वांडरवाल्स समीकरण को इस छवि में दिखाए गए रूप में लिखा जा सकता है।", "options": [ "image_JEE_Main_2014_equation_89_choice_0.png", "image_JEE_Main_2014_equation_89_choice_1.png", "image_JEE_Main_2014_equation_89_choice_2.png", "image_JEE_Main_2014_equation_89_choice_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_89.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "47", "question": "सूची - I (विद्युत चुम्बकीय तरंग प्रकार) को सूची - II (इसका सम्बन्ध/अनुप्रयोग) से सुमेलित कीजिये और सूचियों के नीचे दिये गये विकल्पों में से सही विकल्प चुनिए:", "options": [ "(i) (ii) (iii) (iv)", "(iv) (iii) (ii) (i)", "(i) (ii) (iv) (iii)", "(iii) (ii) (i) (iv)" ], "answer": 0, "image_png": "image_JEE_Main_2014_47_page21.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "40", "question": "यहाँ दर्शाये गये परिपथ में, बिन्दु 'C' को बिन्दु 'A' से तब तक जोड़े रखा जाता है जब तक कि परिपथ में प्रवाहित धारा स्थिर न हो जाए। तत्पश्चात, अचानक, बिन्दु 'C' को बिन्दु 'A' से हटाकर बिन्दु 'B' से t=0 समय पर जोड़ दिया जाता है। t=L/R पर प्रतिरोध पर वोल्टता का प्रेरकत्व पर वोल्टता से अनुपात होगा :", "options": [ "1 - e / e", "1 - e", "1", "-1" ], "answer": 3, "image_png": "image_JEE_Main_2014_40_page17.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "46", "question": "त्रिज्या R एवं द्रव्यमान m के एक एकसमान खोखले बेलन के चारों तरफ एक इन्द्रविहीन डोरी से एक द्रव्यमान 'm' अवलम्बित है। यदि डोरी बेलन पर फिसलती नहीं है, तब छोड़े जाने पर द्रव्यमान किस त्वरण से गिरेगा?", "options": [ "g", "\\(\\frac{2g}{3}\\)", "\\(\\frac{g}{2}\\)", "\\(\\frac{5g}{6}\\)" ], "answer": 2, "image_png": "image_JEE_Main_2014_46_page20.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "84", "question": "रासायनिक तिर्रक अभिक्रिया 2A + B → C + D में तीन पृथक प्रयोगों में 298 K पर निम्न गतिज आँकड़े प्राप्त किये गये : प्रारंभिक सांद्रण (A) प्रारंभिक सांद्रण (B) C बनने की प्रारंभिक दर (मोल L⁻¹ S⁻¹) 0.1 M 0.1 M 1.2 × 10⁻³ 0.1 M 0.2 M 1.2 × 10⁻³ 0.2 M 0.1 M 2.4 × 10⁻³ अभिक्रिया के लिये C बनने का दर नियम होगा :", "options": [ "dc/dt = k[A]", "dc/dt = k[A] [B]", "dc/dt = k[A]² [B]", "dc/dt = k[A] [B]²" ], "answer": 0, "image_png": "image_JEE_Main_2014_84_page36.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "44", "question": "एक पृष्ठ पर एक द्रव्यमान m का ब्लॉक रखा है। पृष्ठ की ऊर्ध्वाधर अनुप्रस्थ काट इस छवि में दी गई है। यदि घर्षण गुणांक 0.5 है, तब धरती से ऊपर वह अधिकतम ऊँचाई, जिस पर बिना फिसले ब्लॉक रखा जा सकता है, है :", "options": [ "1/2 m", "1/6 m", "2/3 m", "1/3 m" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_44.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "51", "question": "प्रत्येक द्रव्यमान M के चार कण जो कि एक दूसरे से समान दूरी पर हैं, एक दूसरे के अन्तर्निहित गुरुत्वाकर्षण प्रभाव में त्रिज्या R के एक वृत्त पर गतिशील हैं। प्रत्येक कण की चाल है :", "options": [ "image_JEE_Main_2014_option_51_page23.png", "image_JEE_Main_2014_option_51_page23_1.png", "image_JEE_Main_2014_option_51_page23_2.png", "image_JEE_Main_2014_option_51_page23_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "81", "question": "अभिक्रिया सेट, CH₃COOH → LiAlH₄ → A → PCl₅ → B → Alc. KOH → C में क्रिया फल C होता है :", "options": [ "एसीटाइल क्लोराइड", "एसीटैल्डिहाइड", "एसीटिलीन", "इथाइलीन" ], "answer": 3, "image_png": "image_JEE_Main_2014_81_page35.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "83", "question": "अभिक्रिया, SO₂(g) + 1/2 O₂(g) ⇌ SO₃(g) के लिए इस छवि में दिखाए गए समीकरण के अनुसार जबकि सच सूचक अक्षर सामान्य अर्थ रखते हैं तो आदर्शता मानते हुए x का मान होगा :", "options": [ "1", "-1", "-1/2", "1/2" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_83.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "5", "question": "यदि A एक ऐसा 3×3 व्युत्क्रमणीय आव्यूह है कि AA' = A'A तथा B = इस छवि में दिखाए गए A', तो BB' बराबर है :", "options": [ "I", "B^-1", "(B^-1)'", "I + B" ], "answer": 0, "image_png": "image_JEE_Main_2014_equation_5.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "6", "question": "इस छवि में दिखाए गए समाकल का मान क्या है?", "options": [ "x e^(x + 1/x) + c", "(x + 1) e^(x + 1/x) + c", "-x e^(x + 1/x) + c", "(x - 1) e^(x + 1/x) + c" ], "answer": 0, "image_png": "image_JEE_Main_2014_equation_6.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "36", "question": "एक डायोड की धारा-वोल्टता सम्बन्ध इस छवि में दिखाए गए समीकरण से दी जाती है, जहाँ V लगाई गई वोल्टता में है और तापमान T डिग्री केल्विन में है। यदि एक विद्यार्थी 300 K पर 5 mA धारा नापते हुए मापन में ±0.01 V की त्रुटि करता है, तब धारा के मान में mA में त्रुटि क्या होगी?", "options": [ "0.05 mA", "0.2 mA", "0.02 mA", "0.5 mA" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_36.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "37", "question": "ऊँचाई H की एक मीनार से, चाल u से एक कण को ऊर्ध्वाधर ऊपर की ओर फेंका जाता है। कण के पृथ्वी तक गिरने में लगा समय उसके उच्चतम बिन्दु तक पहुँचने के समय का n गुना है। H, u एवं n के बीच सम्बन्ध इस छवि में दिखाए गए समीकरण के अनुसार है।", "options": [ "image_JEE_Main_2014_equation_37_choice_0.png", "image_JEE_Main_2014_equation_37_choice_1.png", "image_JEE_Main_2014_equation_37_choice_2.png", "image_JEE_Main_2014_equation_37_choice_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_37.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "90", "question": "Which series of reactions correctly represents chemical relations related to iron and its compound?", "options": [ "image_JEE_Main_2014_option_90_page38.png", "image_JEE_Main_2014_option_90_page38_1.png", "image_JEE_Main_2014_option_90_page38_2.png", "image_JEE_Main_2014_option_90_page38_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "90", "question": "इनमें से अभिक्रियाओं का कौन-सा क्रम यथार्थ रूप में लोहे और इसके यौगिकों की रासायनिक अभिक्रियाओं को निरूपित करता है?", "options": [ "image_JEE_Main_2014_option_90_page38.png", "image_JEE_Main_2014_option_90_page38_1.png", "image_JEE_Main_2014_option_90_page38_2.png", "image_JEE_Main_2014_option_90_page38_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "1", "question": "यदि \\( x = -1 \\) तथा \\( x = 2 \\), इस छवि में दिखाए गए \\( f(x) \\) के चरमबिंदु हैं, तो :", "options": [ "image_JEE_Main_2014_equation_1_choice_0.png", "image_JEE_Main_2014_equation_1_choice_1.png", "image_JEE_Main_2014_equation_1_choice_2.png", "image_JEE_Main_2014_equation_1_choice_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_1.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "2", "question": "दीर्घवृत्त इस छवि में दिखाए गए समीकरण के केंद्र से इसकी किसी स्पर्श रेखा पर खींचे गए लंब के पाद का बिंदु पथ है :", "options": [ "image_JEE_Main_2014_equation_2_choice_0.png", "image_JEE_Main_2014_equation_2_choice_1.png", "image_JEE_Main_2014_equation_2_choice_2.png", "image_JEE_Main_2014_equation_2_choice_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_2.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "3", "question": "माना इस छवि में दिखाए गए f_k(x) के लिए, जहाँ x ∈ R तथा k ≥ 1 है, तो f_4(x) - f_6(x) बराबर है :", "options": [ "1/3", "1/4", "1/12", "1/6" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_3.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "35", "question": "लम्बाई l की एक अविनाशी डोरी से बंधे द्रव्यमान m के एक बिन्दु को एक ऊर्ध्वाधर आधार से लटकाया जाता है। बिन्दु क्षैतिज पर कोणीय चाल ω rad/s से एक वृताकार वृत्त में घूमन करता है। निलम्बन बिन्दु पर :", "options": [ "image_JEE_Main_2014_equation_35_choice_0.png", "image_JEE_Main_2014_equation_35_choice_1.png", "image_JEE_Main_2014_equation_35_choice_2.png", "image_JEE_Main_2014_equation_35_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "42", "question": "एक वृत्ताकार नली ऊर्ध्वाधर तल में है। दो द्रव, जो एक दूसरे से मिश्रित नहीं होते तथा जिनका घनत्व d1 एवं d2 है, नली में भरे गये हैं। प्रत्येक द्रव केन्द्र पर 90° का कोण अंतर्गत करता है। उनके अंतः पृष्ठ को जोड़ने वाली त्रिज्या ऊर्ध्वाधर से α कोण बनाती है। अनुपात d1/d2 है:", "options": [ "1 + sinα / 1 - cosα", "1 + sinα / 1 - sinα", "1 + cosα / 1 - cosα", "1 + tanα / 1 - tanα" ], "answer": 3, "image_png": "image_JEE_Main_2014_42_page18.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "31", "question": "जब एक रबर के हलके को x दूरी तक तानित किया जाता है; तब प्रत्यासं इस छवि में दिखाए गए बल का एक प्रत्यास्थ बल लगाया है जहाँ a एवं b नियतांक हैं। बिना तानित रबर के हलके को L से तानित करने में किया गया कार्य है :", "options": [ "\\(\\frac{1}{2}aL^2 + \\frac{bL^3}{3}\\)", "aL^2 + bL^3", "\\(\\frac{1}{2}(aL^2 + bL^3)\\)", "\\(\\frac{aL^2}{2} + \\frac{bL^3}{3}\\)" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_31.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "64", "question": "नीचे कुछ अर्ध सेल अभिक्रियाएँ दी गई हैं : \nMn²⁺ + 2e⁻ → Mn ; E° = -1.18 V \n2(Mn³⁺ + e⁻ → Mn²⁺) ; E° = +1.51 V \n3Mn²⁺ → Mn + 2Mn³⁺ के लिए E° होगा :", "options": [ "-0.33 V ; अभिक्रिया होगी।", "-2.69 V ; अभिक्रिया नहीं होगी।", "-2.69 V ; अभिक्रिया होगी।", "-0.33 V ; अभिक्रिया नहीं होगी।" ], "answer": 1, "image_png": "image_JEE_Main_2014_64_page29.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "65", "question": "एथेनॉल के पूर्ण दहन के लिये, इस छवि में दिखाए गए समीकरण के अनुसार, बम के कैलोरीमीटर में मापित ऊर्जा 25°C पर 1364.47 kJ mol⁻¹ है। आदर्शता मानते हुए दहन की एन्थैल्पी, ΔHc, होगी :", "options": [ "-1350.50 kJ mol⁻¹", "-1366.95 kJ mol⁻¹", "-1361.95 kJ mol⁻¹", "-1460.50 kJ mol⁻¹" ], "answer": 1, "image_png": "image_JEE_Main_2014_equation_65.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "20", "question": "यदि \\( a \\in R \\) तथा इस छवि में दिखाए गए समीकरण का कोई पूर्णांक हल नहीं है, तो \\( a \\) के सभी संभव मान जिस अंतराल में स्थित हैं, वह है:", "options": [ "(1, 2)", "(-2, -1)", "(-∞, -2) ∪ (2, ∞)", "(-1, 0) ∪ (0, 1)" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_20.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "21", "question": "इस छवि में दिखाए गए समाकल का मान क्या है?", "options": [ "2π/3 - 4 - 4√3", "4√3 - 4", "4√3 - 4 - π/3", "π - 4" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_21.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "22", "question": "यदि f तथा g, [0, 1] में अवकलनीय फलन हैं जो f(0) = 2 = g(1), g(0) = 0 और f(1) = 6 को संतुष्ट करते हैं, तो किसी c ∈]0, 1[ के लिए:", "options": [ "image_JEE_Main_2014_equation_22_choice_0.png", "image_JEE_Main_2014_equation_22_choice_1.png", "image_JEE_Main_2014_equation_22_choice_2.png", "image_JEE_Main_2014_equation_22_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "55", "question": "हाइड्रोजन (1H1), ड्यूटेरियम (1H2), एकबार आयनित हीलियम (2He4)+ और द्वि बार आयनित लिथियम (3Li6)++ सभी में एक इलेक्ट्रॉन नाभिक के चारों ओर है। इस छवि में दिखाए गए इलेक्ट्रॉन संक्रमण पर विचार कीजिये। यदि उत्सर्जित विकिरण की तरंगदैर्ध्य λ1, λ2, λ3 और λ4 है, तब निम्नलिखित विकल्पों में से कौन सा लगभग सही है?", "options": [ "image_JEE_Main_2014_equation_55_choice_0.png", "image_JEE_Main_2014_equation_55_choice_1.png", "image_JEE_Main_2014_equation_55_choice_2.png", "image_JEE_Main_2014_equation_55_choice_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_55.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "76", "question": "निम्न में से किस अणु के लिये बहुत सीमा तक μ≠0 होगा?", "options": [ "(c) और (d)", "केवल (a)", "(a) और (b)", "केवल (c)" ], "answer": 0, "image_png": "image_JEE_Main_2014_76_page33.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "73", "question": "इस छवि में दिखाए गए अभिव्यक्ति में बदलने का सबसे अधिक उपयुक्त अभिकर्मक होता है :", "options": [ "PCC (पिरिडिनियम क्लोरोक्रोमेट)", "KMnO₄", "K₂Cr₂O₇", "CrO₃" ], "answer": 0, "image_png": "image_JEE_Main_2014_equation_73.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "74", "question": "CsCl का केन्द्रीय घनाकार जालक में क्रिस्टलीय होता है। यदि किनारे की लम्बाई 'a' हो तो निम्न सूत्रों में से कौन-सा ठीक होगा ?", "options": [ "image_JEE_Main_2014_equation_74_choice_0.png", "image_JEE_Main_2014_equation_74_choice_1.png", "image_JEE_Main_2014_equation_74_choice_2.png", "image_JEE_Main_2014_equation_74_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "53", "question": "एक सुचालक z-अक्ष के साथ -1.5 ≤ z < 1.5 m पर रखा है और इसमें -𝑎𝑧 दिशा में स्थिर धारा 10.0 A प्रवाहित हो रही है (चित्र देखें)। क्षेत्र 𝐵 = 3.0 × 10⁻⁴ 𝑒⁻⁰.²𝑥 𝑎𝑦 T के लिये, सुचालक को स्थिर चाल से x = 2.0 m, y = 0 m तक 5 × 10⁻³ s में ले जाने के लिये आवश्यक शक्ति की गणना कीजिए। x-अक्ष पर समान्तर गति मान लें।", "options": [ "29.7 W", "1.57 W", "2.97 W", "14.85 W" ], "answer": 2, "image_png": "image_JEE_Main_2014_53_page24.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "54", "question": "अग्रविष्ट वायस वाला डायोड जोड़ है :", "options": [ "image_JEE_Main_2014_option_54_page24.png", "image_JEE_Main_2014_option_54_page24_1.png", "image_JEE_Main_2014_option_54_page24_2.png", "image_JEE_Main_2014_option_54_page24_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "17", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है :", "options": [ "1", "-π", "π", "π/2" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_17.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "18", "question": "मानो α तथा β समीकरण इस छवि में दिखाए गए समीकरण के मूल हैं। यदि p, q, r समान्तर श्रेणी में हैं तथा 1/α + 1/β = 4 है, तो |α - β| का मान है :", "options": [ "2√17 / 9", "√34 / 9", "2√13 / 9", "√61 / 9" ], "answer": 2, "image_png": "image_JEE_Main_2014_equation_18.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "63", "question": "सोडियम फेनोक्साइड की उच्च दाब और 125°C पर CO₂ से अभिक्रिया करने पर जो योगिक प्राप्त होता है उसमें एसिटिलेशन पर किसका फल C होता है।", "options": [ "image_JEE_Main_2014_option_63_page28.png", "image_JEE_Main_2014_option_63_page28_1.png", "image_JEE_Main_2014_option_63_page28_2.png", "image_JEE_Main_2014_option_63_page28_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2014_63_page28.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "7", "question": "A = {(x, y) : इस छवि में दिखाए गए क्षेत्र तथा y² ≤ 1 - x} के द्वारा प्रदत्त क्षेत्र का क्षेत्रफल है :", "options": [ "π/2 - 4/3", "π/2 - 2/3", "π/2 + 2/3", "π/2 + 4/3" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_7.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "8", "question": "समतल इस छवि में दिखाए गए में रेखा x - 1/3 = y - 3/1 = z - 4/-5 के प्रतिविंब वाली रेखा है :", "options": [ "image_JEE_Main_2014_equation_8_choice_0.png", "image_JEE_Main_2014_equation_8_choice_1.png", "image_JEE_Main_2014_equation_8_choice_2.png", "image_JEE_Main_2014_equation_8_choice_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_8.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "7533dd2331406c24521786976f16f31f", "source": "https://collegedunia.com/news/e-301-jee-main-2014-be-btech-question-paper-with-answer-keys-april-06-code-g", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "30", "question": "दो रेखाएँ, जिनके दिशा-कोसाइन, समीकरणों \\( l + m + n = 0 \\) तथा इस छवि में दिखाए गए समीकरण को संतुष्ट करते हैं, के बीच का कोण है :", "options": [ "π/4", "π/6", "π/2", "π/3" ], "answer": 3, "image_png": "image_JEE_Main_2014_equation_30.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "28", "question": "यदि चुंबकीय क्षेत्र 'B' के प्रभाव से, समतल में गति करते हुए, 'm' द्रव्यमान तथा 'q' आवेश के कण पर, बोहर मॉडल लागू किया (प्रयोग में लाया) जाए तो, आवेशित कण की nवीं स्तर में ऊर्जा होगी :", "options": [ "image_JEE_Main_2015_option_28_page16.png", "image_JEE_Main_2015_option_28_page16_1.png", "image_JEE_Main_2015_option_28_page16_2.png", "image_JEE_Main_2015_option_28_page16_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "9", "question": "निम्न अभिक्रिया एक प्रथम कोटि बदलताकी है (छवि में दिखाए गए अभिक्रिया को देखें): \n30 min में, एक पात्र जिसमें केवल N₂O₅ था, उसका दाब 50 mm Hg से 87.5 mm Hg बढ़ गया। 60 min के बाद यह दाब होगा (मान लीजिए, को ताप नियत है):", "options": [ "106.25 mm Hg", "116.25 mm Hg", "125 mm Hg", "150 mm Hg" ], "answer": 0, "image_png": "image_JEE_Main_2015_equation_9_chem.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "यदि वृत्ताकार पथ में गति करते हुए किसी पिंड (वस्तु) की चाल 10 ms⁻¹ है और यह अपरिवर्तित रहती है तो, निम्नलिखित में से कौनसा आलेख, त्वरण तथा त्रिज्या के बीच सम्बन्ध का ठीक (सही) चित्रण करता है?", "options": [ "image_JEE_Main_2015_option_2_page2.png", "image_JEE_Main_2015_option_2_page2_1.png", "image_JEE_Main_2015_option_2_page2_2.png", "image_JEE_Main_2015_option_2_page2_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "30", "question": "स्टील की एक गोली का व्यास एक ऐसे वर्नियर कैलिपर्स से नापा जाता है जिसके मुख्य पैमाने का एक भाग (MSD) 0.1 cm है, तथा इसमें वर्नियर पैमाने (VS) के 10 भाग, मुख्य पैमाने के 9 भागों के बराबर हैं। गोली के व्यास के लिये तीन पठनांक (रीडिंग) यहाँ दिये गये हैं:\nक्रमांक | मुख्य पैमाने की माप cm | वर्नियर पैमाने के भाग\n1. | 0.5 | 8\n2. | 0.5 | 4\n3. | 0.5 | 6\nयदि वर्नियर कैलिपर्स की शून्य त्रुटि -0.03 cm, है तो, व्यास का माध्य संशोधित मान होगा :", "options": [ "0.56 cm", "0.59 cm", "0.53 cm", "0.52 cm" ], "answer": 1, "image_png": "image_JEE_Main_2015_30_page17.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "12", "question": "यदि रोल्स का प्रमेय इस छवि में दिखाए गए फलन के लिए बिंदु x = 1/2 पर लागू होता है, तो 2b + c बराबर है :", "options": [ "1", "-1", "2", "-3" ], "answer": 1, "image_png": "image_JEE_Main_2015_equation_42.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "13", "question": "मान लीजिए P(0, h) से छवि में दिखाए गए वृत्त पर खींची गई स्पर्श रेखाएँ x-अक्ष को बिंदुओं A तथा B पर मिलती हैं। यदि ΔAPB का क्षेत्रफल न्यूनतम है, तो h बराबर है :", "options": [ "4√3", "3√3", "3√2", "4√2" ], "answer": 3, "image_png": "image_JEE_Main_2015_equation_43.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "14", "question": "इस छवि में दिखाए गए समाकल का मान क्या है?", "options": [ "4 (x + 1)¹/⁴ / (x - 2) + C", "4 (x - 2)¹/⁴ / (x + 1) + C", "-4/3 (x + 1)¹/⁴ / (x - 2) + C", "-4/3 (x - 2)¹/⁴ / (x + 1) + C" ], "answer": 2, "image_png": "image_JEE_Main_2015_equation_44.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "27", "question": "कॉलम-A में दिए गए बहुलकों को कॉलम-B में उनके प्रमुख उपयोग के साथ सुमेलित करें तथा सही विकल्प चुनें :", "options": [ "(A) - (ii), (B) - (i), (C) - (iii), (D) - (iv)", "(A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)", "(A) - (ii), (B) - (iv), (C) - (iii), (D) - (i)", "(A) - (iii), (B) - (iv), (C) - (ii), (D) - (i)" ], "answer": 1, "image_png": "image_JEE_Main_2015_57_page26.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "29", "question": "OCOCH₃ COOH का प्रयोग किस रूप में होता है ?", "options": [ "कीटनाशक", "प्रतिहिस्टामिन", "पीड़ाहर", "प्रतिअम्ल" ], "answer": 2, "image_png": "image_JEE_Main_2015_59_page26.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "एक पतली, एकसमान, वर्गाकार, चादर (शीट) किसी दृढ़ पदार्थ की बनी है। यदि इसकी एक भुजा 'a', द्रव्यमान m तथा जड़त्व एक विकर्ण के प्रति, इसका जड़त्व आघूर्ण इस छवि में दिखाए गए समीकरण के अनुसार है तो :", "options": [ "image_JEE_Main_2015_equation_6_choice_0.png", "image_JEE_Main_2015_equation_6_choice_1.png", "image_JEE_Main_2015_equation_6_choice_2.png", "image_JEE_Main_2015_equation_6_choice_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2015_equation_6.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "एक बहुत लम्बी गैलेकसी (द्रव्यमान L) एकसमान वितरित द्रव की बनी है, इसकी त्रिज्या R (R< 1 है, तो f(5) बराबर है :", "options": [ "π/2", "π", "4 tan⁻¹(5)", "tan⁻¹(65/156)" ], "answer": 1, "image_png": "image_JEE_Main_2015_equation_29_math.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "1", "question": "यदि किसी कण के x तथा y विस्थापन को क्रमशः x(t) = a sinωt तथा y(t) = a sin2ωt, से निरूपित किया जाता है तो, इसका प्रक्षेप - पथ, निम्नलिखित में से किसके जैसा दिखाई देगा?", "options": [ "image_JEE_Main_2015_option_1_page1.png", "image_JEE_Main_2015_option_1_page1_1.png", "image_JEE_Main_2015_option_1_page1_2.png", "image_JEE_Main_2015_option_1_page1_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "5", "question": "मीथेन तथा एथेन के कफनीकरण ऊष्मा क्रमशः 360 kJ/mol तथा 620 kJ/mol है। C - C बंध को तोड़ने की क्षमता रखने वाला प्रकाश का दीर्घतम तरंगदैर्घ्य होगी (अवोगाद्रो संख्या और h के लिए छवि देखें):", "options": [ "1.49 x 10^3 nm", "2.48 x 10^3 nm", "2.48 x 10^4 nm", "1.49 x 10^4 nm" ], "answer": 0, "image_png": "image_JEE_Main_2015_equation_35.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "67459eeeb4713a4e7d4f2f632c7e1200", "source": "https://collegedunia.com/news/e-301-jee-main-2015-be-btech-question-paper-and-answer-key-pdf-april-10", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "25", "question": "x-दिशा में गतिमान एक समान्तर इलेक्ट्रॉन पुंज d चौड़ाई की फांक पर आपतित होता है (आरेख देखें)। यदि इस फांक से निकलने के पश्चात् इलेक्ट्रॉन, y-दिशा में, py संवेग प्राप्त कर लेते हैं तो, फांक से गुजरने वाले अधिकांश इलेक्ट्रॉनों के लिये (यदि h प्लांक नियतांक है) :", "options": [ "pyd ≃ h", "pyd > h", "pyd < h", "pyd ≥ h" ], "answer": 2, "image_png": "image_JEE_Main_2015_25_page15.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "computer concepts", "category_original_lang": "कंप्यूटर अवधारणाएँ", "original_question_num": "90", "question": "बूलियन के व्यंजक (Boolean Expression) इस छवि में दिखाए गए का समतुल्य है :", "options": [ "∼p∧q", "p∧q", "p∨q", "p∨∼q" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_equation_90.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "77", "question": "यदि एक वक्र \\( y = f(x) \\) बिंदु (1, -1) से होकर जाता है तथा अवकल समीकरण इस छवि में दिखाए गए समीकरण को संतुष्ट करता है, तो \\( f(-1/2) \\) बराबर है :", "options": [ "-2/5", "-4/5", "2/5", "4/5" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_77.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "33", "question": "एक गर्म फिलामेंट से निकली इलेक्ट्रॉनों धारा को V esu के विभवान्तर पर रखे दो आवेशित प्लेटों के बीच में भेजा जाता है। यदि इलेक्ट्रॉन के आवेश तथा संहति क्रमशः e तथा m हों तो इस छवि में दिखाए गए h/λ का मान निम्न में से किसके द्वारा दिया जायेगा? (जहाँ इलेक्ट्रॉन तरंग से सम्बंधित तरंगदैर्ध्य λ है)", "options": [ "meV", "2meV", "√meV", "√2meV" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_33.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "36", "question": "18 g ग्लूकोस (इस छवि में दिखाए गए) को 178.2 g पानी में मिलाया जाता है। इस जलीय विलयन के लिए जल का वाष्प दाब (torr में) होगा :", "options": [ "7.6", "76.0", "752.4", "759.0" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_equation_36.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "37", "question": "तापमान 298 K पर, एक अभिक्रिया इस छवि में दिखाए गए समीकरण के लिए साम्यांक स्थिरांक 100 है। यदि प्रारंभिक सांद्रता सभी चारों प्रजातियों में से प्रत्येक की 1 M होती, तो D की साम्य सांद्रता (mol L⁻¹ में) होगी :", "options": [ "0.182", "0.818", "1.818", "1.182" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_equation_37.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "80", "question": "यदि छवि में दिए गए समीकरण द्वारा प्रदत्त एक वृत्त का एक व्यास एक अन्य वृत्त S, जिसका केंद्र (-3, 2) है, की जीव है, तो वृत्त S की त्रिज्या है :", "options": [ "\\(5\\sqrt{2}\\)", "\\(5\\sqrt{3}\\)", "5", "10" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_80.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "81", "question": "मान लीजिए परवलय \\(y^2 = 8x\\) का P एक ऐसा बिंदु है जो इस छवि में दिखाए गए वृत्त के केंद्र C से न्यूनतम दूरी पर है, तो उस वृत्त का समीकरण जो C से होकर जाता है तथा जिसका केंद्र P पर है, है :", "options": [ "\\(x^2 + y^2 - 4x + 8y + 12 = 0\\)", "\\(x^2 + y^2 - x + 4y - 12 = 0\\)", "\\(x^2 + y^2 - \\frac{x}{4} + 2y - 24 = 0\\)", "\\(x^2 + y^2 - 4x + 9y + 18 = 0\\)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_equation_81.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "73", "question": "2 इकाई लंबी एक तार को दो भागों में काट कर उन्हें क्रमशः r इकाई घूमा वाले वृत्त तथा r इकाई त्रिज्या वाले वृत्त के रूप में मोड़ा जाता है। यदि बनाए गये वर्ग तथा वृत्त के क्षेत्रफलों का योग न्यूनतम है, तो :", "options": [ "image_JEE_Main_2016_paper_1_equation_73_choice_0.png", "image_JEE_Main_2016_paper_1_equation_73_choice_1.png", "image_JEE_Main_2016_paper_1_equation_73_choice_2.png", "image_JEE_Main_2016_paper_1_equation_73_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "74", "question": "इस छवि में दिखाए गए समाकल का मान क्या है?", "options": [ "-x^5 / (x^5 + x^3 + 1)^2 + C", "x^10 / 2(x^5 + x^3 + 1)^2 + C", "x^5 / 2(x^5 + x^3 + 1)^2 + C", "-x^10 / 2(x^5 + x^3 + 1)^2 + C" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_74.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "52", "question": "नीचे दी गई अभिक्रिया के लिए उत्पाद होगा :", "options": [ "image_JEE_Main_2016_paper_1_option_52_page24.png", "image_JEE_Main_2016_paper_1_option_52_page24_1.png", "image_JEE_Main_2016_paper_1_option_52_page24_2.png", "image_JEE_Main_2016_paper_1_option_52_page24_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_52_page24.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "8", "question": "एक आदर्श गैस उत्क्रमणीय स्थैतिक-कल्व प्रक्रिया से गुज़रती है तथा उसकी मोलर-ऊष्मा-धारिता C स्थिर रहती है। यदि इस प्रक्रिया में उसके दाब P व आयतन V के बीच संबंध इस छवि में दिखाए गए समीकरण के अनुसार है। (C_P तथा C_V क्रमशः विशिष्ट दाब व विशिष्ट आयतन पर ऊष्मा-धारिता है) तब 'n' के लिये समीकरण है:", "options": [ "image_JEE_Main_2016_paper_1_equation_8_choice_0.png", "image_JEE_Main_2016_paper_1_equation_8_choice_1.png", "image_JEE_Main_2016_paper_1_equation_8_choice_2.png", "image_JEE_Main_2016_paper_1_equation_8_choice_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_8.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "9", "question": "'n' मोल आदर्श गैस एक प्रक्रिया A→B से गुज़रती है (चित्र देखें)। इस प्रक्रिया के दौरान उसका अधिकतम तापमान होगा:", "options": [ "9P_0V_0 / 4nR", "3P_0V_0 / 2nR", "9P_0V_0 / 2nR", "9P_0V_0 / nR" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_9_page6.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "61", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, x ≠ 0 है, तथा S = {x ∈ R : f(x) = f(−x)} है; तो S :", "options": [ "एक रिक्त समुच्चय है।", "में केवल एक अवयव है।", "में प्रत्येक दो अवयव हैं।", "में दो से अधिक अवयव हैं।" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_equation_61.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "62", "question": "θ का वह एक मान जिसके लिए इस छवि में दिखाए गए भिन्न का मान पूर्णतः काल्पनिक है, है :", "options": [ "π/3", "π/6", "sin⁻¹(√3/4)", "sin⁻¹(1/√3)" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_62.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "63", "question": "समीकरण \\((x^2 - 5x + 5)^{x^2 + 4x - 60} = 1\\) को संतुष्ट करने वाले x के सभी वास्तविक मानों का योग क्या है? विवरण के लिए दिए गए समीकरण का संदर्भ लें।", "options": [ "3", "−4", "6", "5" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_equation_63.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "20", "question": "एक पिन-होल कैमरा की लम्बाई 'L' है तथा छिद्र की त्रिज्या a है। यह मान लें कि तरंगदैर्ध्य λवाले समान्तर प्रकाश आपतित है। छिद्र के सामने वाली दीवार पर बने स्पॉट का विस्तार छिद्र के ज्यामितीय आकार तथा विवर्तन के कारण हुए विस्तार का कुल योग है। इस स्पॉट का न्यूनतम आकार b_min तब होगा जब :", "options": [ "image_JEE_Main_2016_paper_1_equation_20_choice_0.png", "image_JEE_Main_2016_paper_1_equation_20_choice_1.png", "image_JEE_Main_2016_paper_1_equation_20_choice_2.png", "image_JEE_Main_2016_paper_1_equation_20_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "एक फोटो-सेल पर λ तरंगदैर्ध्य का प्रकाश आपतित है। उत्सर्जित इलेक्ट्रॉन की अधिकतम गति 'v' है। यदि तरंगदैर्ध्य इस छवि में दिखाए गए रूप में हो तब उत्सर्जित इलेक्ट्रॉन की अधिकतम गति होगी :", "options": [ "> v(4/3)^1/2", "< v(4/3)^1/2", "= v(4/3)^1/2", "= v(3/4)^1/2" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_equation_21.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "computer concepts", "category_original_lang": "कंप्यूटर अवधारणाएँ", "original_question_num": "23", "question": "एक गेट में a, b, c, d इनपुट हैं और x आउटपुट है। तब दिये गये टाइम-ग्राफ के अनुसार गेट है :", "options": [ "NOT", "AND", "OR", "NAND" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_23_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "64", "question": "यदि A = इस छवि में दिखाए गए मैट्रिक्स तथा A adj A = A Aᵀ हैं, तो 5a + b बराबर है :", "options": [ "-1", "5", "4", "13" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_64.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "65", "question": "रेखिक समीकरण निकाल इस छवि में दिखाए गए समीकरण का एक अनुछेद हल होने के लिए :", "options": [ "λ के अनंत मान हैं।", "λ का केवल: एक मान है।", "λ के केवल: दो मान हैं।", "λ के केवल: तीन मान हैं।" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_65.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "10", "question": "एक कण 'A' आयाम से सरल-आवर्त दोलन कर रहा है। जब यह अपने मूल-स्थान से इस छवि में दिखाए गए स्थान पर पहुँचता है तब अचानक इसकी गति तिगुनी कर दी जाती है। तब इसका नया आयाम है :", "options": [ "\\(\\frac{A}{3}\\sqrt{41}\\)", "3A", "\\(A\\sqrt{3}\\)", "\\(\\frac{7A}{3}\\)" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_10.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "53", "question": "दिए गए यौगिक का निरपेक्ष विन्यास है :", "options": [ "(2R, 3S)", "(2S, 3R)", "(2S, 3S)", "(2R, 3R)" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_53_page25.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "54", "question": "मेथनॉल में 2-क्लोरो-2-मिथाइलपेन्टेन, सोडियम मेथोक्साइड के साथ अभिक्रिया करके देती है :", "options": [ "इनमें से सभी", "(a) तथा (c)", "मात्र (c)", "(a) तथा (b)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_54_page25.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "75", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?", "options": [ "18 / e^4", "27 / e^2", "9 / e^2", "3 log3 - 2" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_75.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "76", "question": "इस छवि में दिखाए गए क्षेत्र का क्षेत्रफल (वर्ग इकाइयों में) है :", "options": [ "π - 4/3", "π - 8/3", "π - 4√2/3", "π/2 - 2√2/3" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_76.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "4", "question": "एक भारोत्तोलक भार को पहले ऊपर और फिर नीचे तक लाता है। यह माना जाता है कि सिर्फ भार को ऊपर ले जाने में होने वाले कार्य से प्राप्त स्थितिज ऊर्जा का ह्रास होता है। शरीर को क्या ऊर्जा देती है जो यांत्रिक ऊर्जा में बदलती है। मान लें कि वसा द्वारा दी गई ऊर्जा इस छवि में दर्शाई गई है, तथा इसका मात्र 20% यांत्रिक ऊर्जा में बदलता है। अब यदि एक भारोत्तोलक 10 kg के भार को 1000 बार 1 m की ऊँचाई तक ऊपर और नीचे करता है तब उसके शरीर से वसा का क्षय है: (g=9.8 ms^−2)", "options": [ "2.45×10^−3 kg", "6.45×10^−3 kg", "9.89×10^−3 kg", "12.89×10^−3 kg" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_4.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "5", "question": "दो शंकु को उनके शीर्ष O पर जोड़कर एक रोलर बनाया गया है और उसे AB व CD रेल पर असममित रखा गया है (चित्र देखिए)। रोलर का अक्ष CD से लम्बवत है और O दोनों रेल के बीचोबीच है। हल्के से धकेलने पर रोलर रेल पर इस प्रकार लुढ़कना आरम्भ करता है कि O का चालत CD के समान्तर है (चित्र देखिए)। चलित हो जाने के बाद यह रोलर :", "options": [ "बाएँ ओर मुड़ेगा।", "दाएँ ओर मुड़ेगा।", "सीधा चलता रहेगा।", "बाएँ तथा दाएँ क्रमशः मुड़ता रहेगा।" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_5_page4.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "55", "question": "प्रोपीन को HOCl (Cl₂ + H₂O) के साथ अभिक्रिया जिस मध्यवर्ती से होकर सम्पन्न होती है, वह है :", "options": [ "image_JEE_Main_2016_paper_1_option_55_page26.png", "image_JEE_Main_2016_paper_1_option_55_page26_1.png", "image_JEE_Main_2016_paper_1_option_55_page26_2.png", "image_JEE_Main_2016_paper_1_option_55_page26_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "67", "question": "यदि इस छवि में दिखाए गए अभिव्यक्ति के प्रसार में पदों की संख्या 28 है, तो इस प्रसार में आने वाले सभी पदों के गुणांकों का योग है :", "options": [ "64", "2187", "243", "729" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_equation_67.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "69", "question": "यदि श्रेणी इस छवि में दिखाए गए पदों के प्रथम दस पदों का योग \\(\\frac{16}{5}m\\) है, तो \\(m\\) बराबर है :", "options": [ "102", "101", "100", "99" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_69.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "16", "question": "दो चुम्बकीय पदार्थ A तथा B के लिये हिस्टेरेसिस-लूप नीचे दिखाये गये हैं :", "options": [ "A का इस्तेमाल विद्युत्-जेनेरेटर तथा ट्रान्सफार्मर दोनों में किया जाए।", "A का इस्तेमाल विद्युत्-चुम्बक में तथा B का विद्युत्-जेनेरेटर में किया जाए।", "A का इस्तेमाल ट्रान्सफार्मर में तथा B का विद्युत्-जेनेरेटर में किया जाए।", "B का इस्तेमाल विद्युत्-चुम्बक तथा ट्रान्सफार्मर दोनों में किया जाए।" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_1_16_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "12", "question": "त्रिज्या 'a' तथा 'b' के दो एक-केन्द्रित गोलों के (चित्र देखें) बीच के स्थान में आवर्त्त आवेश-घनत्व ρ = A/r है, जहाँ A स्थिरांक है तथा r केन्द्र से दूरी है। गोलों के केन्द्र पर एक बिन्दु आवेश Q है। 'A' का वह मान बतायें जिससे गोलों के बीच के स्थान में एकसमान वैद्युत-क्षेत्र हो :", "options": [ "Q / 2πa²", "Q / 2π(b² - a²)", "2Q / π(a² - b²)", "2Q / πa²" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_1_12_page8.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "13", "question": "संधारित्रों से बने एक परिपथ को चित्र में दिखाया गया है। एक बिंदु-आवेश Q (जिसका मान 4 μF तथा 9 μF वाले संधारित्रों के कुल आवेश के बराबर है) के द्वारा 30 m दूरी पर वैद्युत-क्षेत्र का परिमाण होगा :", "options": [ "240 N/C", "360 N/C", "420 N/C", "480 N/C" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_13_page9.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "70", "question": "मान p = इस छवि में दिखाए गए अभिव्यक्ति है, तो log p बराबर है :", "options": [ "2", "1", "1/2", "1/4" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_1_equation_70.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "71", "question": "x ∈ R के लिए f(x) = |log2 - sinx| तथा g(x) = f(f(x)) हैं, तो :", "options": [ "image_JEE_Main_2016_paper_1_equation_71_choice_0.png", "image_JEE_Main_2016_paper_1_equation_71_choice_1.png", "image_JEE_Main_2016_paper_1_equation_71_choice_2.png", "image_JEE_Main_2016_paper_1_equation_71_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "72", "question": "इस छवि में दिखाए गए f(x) पर विचार कीजिए। y = f(x) के बिंदु x = π/6 पर खींचा गया अभिलंब निम्न बिंदु से भी होकर जाता है :", "options": [ "(0, 0)", "(0, 2π/3)", "(π/6, 0)", "(π/4, 0)" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_equation_72.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "60", "question": "नीचे दी गई फिगर में बन्सन फ्लेम का सर्वोच्च गर्म भाग है :", "options": [ "रीजन 1", "रीजन 2", "रीजन 3", "रीजन 4" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_1_60_page27.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "03-04-2016-Set-E", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=SET%20E%20JEE%20Main%202016%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "पृथ्वी की सतह से 'h' ऊँचाई पर एक उपग्रह वृत्ताकार पथ पर घूमकर कक्ष में है (पृथ्वी की त्रिज्या R तथा h<0 के लिए, इस छवि में दिखाए गए समीकरण के अनुसार, तो f(3/2) बराबर है :", "options": [ "13/6", "23/18", "25/9", "31/18" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_77.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "78", "question": "यदि रेखाओं इस छवि में दिखाए गए समीकरण के प्रतिच्छेदन से होकर जाने वाली एक चल रेखा इस प्रकार खींची गई है कि वह निर्देशांक अक्षों को A तथा B, (A≠B) पर मिलती है, तो AB के मध्यबिंदु का निर्देशांक है :", "options": [ "image_JEE_Main_2016_paper_2_equation_78_choice_0.png", "image_JEE_Main_2016_paper_2_equation_78_choice_1.png", "image_JEE_Main_2016_paper_2_equation_78_choice_2.png", "image_JEE_Main_2016_paper_2_equation_78_choice_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_2_equation_78.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "75", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, \\(\\int_{0}^{1} \\tan^{-1} (1 - x + x^2) dx\\) बराबर है :", "options": [ "log4", "\\(\\frac{\\pi}{2}\\) + log2", "log2", "\\(\\frac{\\pi}{2}\\) - log4" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_2_equation_75.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "76", "question": "इस छवि में दिखाए गए क्षेत्र A का क्षेत्रफल (वर्ग इकाइयों में) है :", "options": [ "\\(\\frac{7}{2}\\)", "\\(\\frac{19}{6}\\)", "\\(\\frac{13}{6}\\)", "\\(\\frac{17}{6}\\)" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_76.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "एक R त्रिज्या के पानी के जार, जिसे पानी से H ऊँचाई तक भरा गया है, को h ऊँचाई के स्टैंड पर रखा गया है (चित्र देखें)। तल में एक छोटे छिद्र, जिसकी त्रिज्या r है (r << R), से नीचे गिरते हुए पानी की धार एक 'कीप' का आकार धारण करती है। यदि भूमि के तल पर पानी की धार के अनुप्रस्थ काट की त्रिज्या x है, तब :", "options": [ "image_JEE_Main_2016_paper_2_option_7_page5.png", "image_JEE_Main_2016_paper_2_option_7_page5_1.png", "image_JEE_Main_2016_paper_2_option_7_page5_2.png", "image_JEE_Main_2016_paper_2_option_7_page5_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_2_7_page5.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "32", "question": "अत्यधिक दाब पर एक मोल गैस का संपीड्यता गुणांक होगा :", "options": [ "image_JEE_Main_2016_paper_2_option_32_page21.png", "image_JEE_Main_2016_paper_2_option_32_page21_1.png", "image_JEE_Main_2016_paper_2_option_32_page21_2.png", "image_JEE_Main_2016_paper_2_option_32_page21_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "14", "question": "दिए हुए परिपथ में r एक चर-प्रतिरोध है। यदि r = fR, तब r में ऊष्मा उत्पादन अधिकतम होने के लिए f का मान होगा:", "options": [ "\\(\\frac{1}{4}\\)", "\\(\\frac{1}{2}\\)", "\\(\\frac{3}{4}\\)", "1" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_14_page9.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "70", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार lim x→∞ (1 + a/x - 4/x²)²ˣ = e³ है, तो 'a' बराबर है :", "options": [ "2", "3/2", "2/3", "1/2" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_70.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "निम्नलिखित में से कौन-सा विकल्प उस बिंदु-द्रव्यमान की गति 'v' और त्वरण 'a' के बदलाव को सही तरह से दर्शाता है जो कि किसी श्यान माध्यम में ऊर्ध्वाधर दिशा में नीचे की ओर गिरते हुए माध्यम के कारण एक बल F = - kv, जहाँ पर 'K' एक नियतांक है, का अनुभव करता है। (ग्राफ का व्यावहारिक निरूपण मान के अनुरूप नहीं है।)", "options": [ "image_JEE_Main_2016_paper_2_option_2_page2.png", "image_JEE_Main_2016_paper_2_option_2_page2_1.png", "image_JEE_Main_2016_paper_2_option_2_page2_2.png", "image_JEE_Main_2016_paper_2_option_2_page2_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "16", "question": "एक 50 Ω का प्रतिरोध एक 5 V की बैटरी से जुड़ा हुआ है। एक गैल्वेनोमीटर जिसका प्रतिरोध 100 Ω है, को एमीटरमापी के रूप में प्रयोग किया जाता है। गैल्वेनोमीटर के साथ एक प्रतिरोध rₛ संयोजित है। यदि इस संयोजन में मापित धारा एम्पीयरमीटर को हटाने पर मापित धारा के मान से 1% से अधिक हो तो निम्नलिखित में से कौन-सा संयोजन उचित होगा?", "options": [ "image_JEE_Main_2016_paper_2_equation_16_choice_0.png", "image_JEE_Main_2016_paper_2_equation_16_choice_1.png", "image_JEE_Main_2016_paper_2_equation_16_choice_2.png", "image_JEE_Main_2016_paper_2_equation_16_choice_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "45", "question": "कॉलम I में दिये गये पदार्थों (items) को कॉलम II में दिये गये उपयोगों से सुमेलित कीजिये :", "options": [ "(A)-(iii), (B)-(i), (C)-(iv), (D)-(ii)", "(A)-(iv), (B)-(i), (C)-(ii), (D)-(iii)", "(A)-(ii), (B)-(iv), (C)-(i), (D)-(iii)", "(A)-(ii), (B)-(i), (C)-(iv), (D)-(iii)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_2_45_page26.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "58", "question": "एस्पार्टिक अम्ल के निम्नलिखित अनुक्रम पर विचार कीजिए :", "options": [ "1.88", "3.65", "5.74", "2.77" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_58_page31.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "89", "question": "यदि m तथा M, क्रमशः इस छवि में दिखाए गए अभिव्यक्ति के न्यूनतम तथा अधिकतम मान हैं, तो M - m बराबर है :", "options": [ "15/4", "9/4", "7/4", "1/4" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_89.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "एक श्रेणी LR परिपथ को एक वोल्टेज स्रोत V(t) = V₀ sinΩt से जोड़ा जाता है। काफी लंबे समय बाद विद्युत धारा I(t) का सही चित्रण किस तरह का होगा? (जहाँ t₀ >> L/R)", "options": [ "image_JEE_Main_2016_paper_2_option_17_page11.png", "image_JEE_Main_2016_paper_2_option_17_page11_1.png", "image_JEE_Main_2016_paper_2_option_17_page11_2.png", "image_JEE_Main_2016_paper_2_option_17_page11_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "86", "question": "यदि संख्याओं इस छवि में दिखाए गए क्रम के माध्य से माध्य-विचलन 255 है, तो d का एक मान है :", "options": [ "10.1", "20.2", "10", "5.05" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_2_equation_86.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "88", "question": "x ∈ [0, 2π] की संख्या, जिनके लिए इस छवि में दिखाए गए समीकरण के बराबर है, है :", "options": [ "2", "4", "6", "8" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_88.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "49", "question": "निम्नलिखित में से सही प्रवृत्ति पहचानिये : (परमाणु क्रमांक = Ti : 22, Cr : 24 तथा Mo : 42)", "options": [ "image_JEE_Main_2016_paper_2_option_49_page28.png", "image_JEE_Main_2016_paper_2_option_49_page28_1.png", "image_JEE_Main_2016_paper_2_option_49_page28_2.png", "image_JEE_Main_2016_paper_2_option_49_page28_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "61", "question": "𝑥 ∈ ℝ, 𝑥 ≠ 0, 𝑥 ≠ 1 के लिए माना इस छवि में दिखाए गए 𝑓₀(𝑥) तथा 𝑓ₙ₊₁(𝑥) = 𝑓₀(𝑓ₙ(𝑥)), 𝑛 = 0, 1, 2, . . . है, तो 𝑓₁₀₀(3) + 𝑓₁(2/3) + 𝑓₂(3/2) बराबर है :", "options": [ "8/3", "5/3", "4/3", "1/3" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_61.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "42", "question": "साथ दिये हुये आलेख में निम्नलिखित दो अभिक्रियाओं के लिये -ln Kp का ताप के साथ परिवर्तन दर्शाया गया है।\nM(s) + 1/2 O2(g) → MO(s) तथा\nC(s) + 1/2 O2(g) → CO(s)", "options": [ "T>1200 K पर कार्बन MO(s) को अपचयित करके M(s) देगा।", "T<1200 K पर अभिक्रिया MO(s) + C(s) → M(s) + CO(g) स्वतः प्रवर्तित है।", "T<1200 K पर कार्बन का उपचयन प्रतिकूल है।", "कार्बन का उपचयन सभी ताप पर अनुकूल है।" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_42_page25.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "19", "question": "एक उत्तल लेंस व अवतल लेंस, जिनकी फोकस दूरी क्रमशः 30 cm एवं 120 cm है, तथा समतल दर्पण निम्न चित्र के अनुसार रखे गये हैं। एक वस्तु उत्तल लेंस से 60 cm की दूरी पर रखी है। इस संयोजन द्वारा निर्मित अंतिम प्रतिविम्ब एक वास्तविक प्रतिविम्ब है जिसकी स्थिति निम्नलिखित होगी :", "options": [ "उत्तल लेंस से 60 cm की दूरी पर।", "अवतल लेंस से 60 cm की दूरी पर।", "उत्तल लेंस से 70 cm की दूरी पर।", "अवतल लेंस से 70 cm की दूरी पर।" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_2_19_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "26", "question": "अविकसित L लम्बाई की एकसमान शंकुगुणा तार के सिरों की त्रिज्या क्रमशः R तथा 3R हैं। उसकी धातु का यंग-मॉड्यूलस Y है। रिखा वाले सिरे को एक दृढ़ आधार पर जड़ित किया गया है तथा दूसरे सिरे पर M द्रव्यमान लटकाया गया है। संतुलन-अवस्था में तार की लम्बाई होगी :", "options": [ "image_JEE_Main_2016_paper_2_option_26_page18.png", "image_JEE_Main_2016_paper_2_option_26_page18_1.png", "image_JEE_Main_2016_paper_2_option_26_page18_2.png", "image_JEE_Main_2016_paper_2_option_26_page18_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "27", "question": "एक गैल्वेनोमीटर का प्रतिरोध G मापने के लिये अर्ध-विक्षेप तरीके का इस्तेमाल किया गया जिसमें बैटरी की emf \\( V_E \\) है। प्रतिरोध R के लिये θ विक्षेप मिला। शंट-प्रतिरोध S के लिये आधा विक्षेप मिला। तब G, R तथा S किस समीकरण से संबंधित हैं जो इस छवि में दिखाया गया है?", "options": [ "\\( 2S (R + G) = RG \\)", "\\( S (R + G) = RG \\)", "\\( 2S = G \\)", "\\( 2G = S \\)" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_27.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "37", "question": "रासायनिक अभिक्रिया इस छवि में दिखाए गए समीकरण के लिए, 298 K पर ΔH° तथा ΔS° के मान क्रमशः − 29.8 kJ mol−1 and − 0.100 kJ K−1 mol−1 हैं। इस अभिक्रिया का 298 K पर साम्य स्थिरांक है :", "options": [ "1.0 × 10−10", "1.0 × 1010", "10", "1" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_37.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "63", "question": "यदि इस छवि में दिखाए गए समीकरणों का -1 से भिन्न एक सामान्य मूल है, तो |b| बराबर है :", "options": [ "√2", "2", "3", "√3" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_63.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "64", "question": "यदि इस छवि में दिखाए गए P, A = \\(\\begin{bmatrix} 1 & 1 \\\\ 0 & 1 \\end{bmatrix}\\) तथा Q = PAPᵀ है, तो Pᵀ Q2015 P है :", "options": [ "\\(\\begin{bmatrix} 0 & 2015 \\\\ 0 & 0 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 2015 & 1 \\\\ 0 & 2015 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 2015 & 0 \\\\ 1 & 2015 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 1 & 2015 \\\\ 0 & 1 \\end{bmatrix}\\)" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_64.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "82", "question": "यदि दीर्घवृत्त इस छवि में दिखाए गए समीकरण के एक बिंदु पर खींची गई स्पर्श रेखा, निर्देशांक अक्षों को A तथा B पर प्रतिच्छेद है तथा O मूल बिंदु है, तो त्रिभुज OAB का न्यूनतम क्षेत्रफल (वर्ग इकाई में) है :", "options": [ "\\(\\frac{9}{2}\\)", "\\(3\\sqrt{3}\\)", "\\(9\\sqrt{3}\\)", "9" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_2_equation_82.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "83", "question": "रेखाओं इस छवि में दिखाए गए समीकरणों के बीच की न्यूनतम दूरी, जिस अंतराल में है, वह है :", "options": [ "[0, 1]", "[1, 2]", "[2, 3]", "[3, 4]" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_2_equation_83.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "71", "question": "यदि छवि में दिखाए गए फलन \\( x = 1 \\) पर अवकलनीय है, तो \\( \\frac{a}{b} \\) का मान है :", "options": [ "\\( \\frac{\\pi - 2}{2} \\)", "\\( \\frac{-\\pi - 2}{2} \\)", "\\( \\frac{\\pi + 2}{2} \\)", "\\( -1 - \\cos^{-1}(2) \\)" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_2_equation_71.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "72", "question": "यदि वक्र इस छवि में दिखाए गए समीकरण के बिंदु P, 1 मानक के साथ, पर स्पर्श रेखा, वक्र को दुबारा बिंदु Q पर मिलती है, तो Q के निर्देशांक हैं :", "options": [ "\\( (t^2 + 3, -t^3 - 1) \\)", "\\( (4t^2 + 3, -8t^3 - 1) \\)", "\\( (t^2 + 3, t^3 - 1) \\)", "\\( (16t^2 + 3, -64t^3 - 1) \\)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_2_equation_72.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "74", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, जहाँ \\( k \\) समाकलन स्थिर है, तो A + B + C बराबर है :", "options": [ "21 / 5", "16 / 5", "7 / 10", "27 / 10" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_74.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "जब λ₁ तरंगदैर्घ्य के फोटॉन एक विलगित गोले को प्रदीप्त करते हैं, तो संगत 'निरोधी-विभव' का मान V पाया जाता है। जब λ₂ तरंगदैर्घ्य के फोटॉन उपयोग में लाये जाते हैं तो निरोधी-विभव का मान तिगुना (3V) हो जाता है। अगर λ₃ तरंगदैर्घ्य के फोटॉन से गोले को प्रदीप्त किया जाए, तो निरोधी-विभव का मान होगा :", "options": [ "image_JEE_Main_2016_paper_2_option_21_page15.png", "image_JEE_Main_2016_paper_2_option_21_page15_1.png", "image_JEE_Main_2016_paper_2_option_21_page15_2.png", "image_JEE_Main_2016_paper_2_option_21_page15_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "79", "question": "बिंदु (2, 1) को रेखा L : x - y = 4 के समानांतर, 2√3 इकाई स्थानांतरित किया गया। यदि नया बिंदु Q तीसरे चतुर्थांश में स्थित है, तो बिंदु Q से होकर जाने वाली तथा L के लंबवत रेखा का समीकरण है :", "options": [ "image_JEE_Main_2016_paper_2_equation_79_choice_0.png", "image_JEE_Main_2016_paper_2_equation_79_choice_1.png", "image_JEE_Main_2016_paper_2_equation_79_choice_2.png", "image_JEE_Main_2016_paper_2_equation_79_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "80", "question": "एक वृत्त बिंदु (−2, 4) से होकर जाता है तथा y-अक्ष को (0, 2) पर स्पर्श करता है। निम्न में से कौन सा एक समीकरण इस वृत्त के व्यास को निरूपित करता है ?", "options": [ "image_JEE_Main_2016_paper_2_equation_80_choice_0.png", "image_JEE_Main_2016_paper_2_equation_80_choice_1.png", "image_JEE_Main_2016_paper_2_equation_80_choice_2.png", "image_JEE_Main_2016_paper_2_equation_80_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "81", "question": "मान लीजिए a तथा b क्रमशः एक अतिपरवलय जिसकी अर्धव्यासीय समीकरण इस छवि में दिखाया गया है, के अर्ध-अनुप्रस्थ तथा अर्ध-अनुप्रस्थ अक्ष हैं। यदि S(5, 0) इस अतिपरवलय की एक नाभि तथा 5x = 9 संगत निर्देशिका (directrix) है, तो a² − b² बराबर है :", "options": [ "7", "−7", "5", "−5" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_equation_81.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "39", "question": "क्लोरीन परमाणुओं की उपस्थिति में, ओज़ोन की ऑक्सीजन परमाणुओं से अभिक्रिया निम्नलिखित द्विपद प्रक्रिया द्वारा होती है :\nO₃(g) + Cl⁻(g) → O₂(g) + ClO⁻(g) —— (i)\nClO⁻(g) + O⁻(g) → O₂(g) + Cl⁻(g) —— (ii)\nकुल अभिक्रिया O₃(g) + O⁻(g) → 2 O₂(g) का निकटतम वेग नियतांक इस छवि में दिखाए गए मानों का उपयोग करके ज्ञात करें।", "options": [ "5.2 × 10⁹ L mol⁻¹ s⁻¹", "2.6 × 10¹⁰ L mol⁻¹ s⁻¹", "3.1 × 10¹⁰ L mol⁻¹ s⁻¹", "1.4 × 10²⁰ L mol⁻¹ s⁻¹" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_2_equation_39.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "09.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=Main%202016%20Paper-,JEE%20Main%202016%20Paper,-2016%20JEE%20Main", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "28", "question": "उत्तल-दर्पण की फोकस दूरी निकालने के एक प्रयोग में निम्न डेटा प्राप्त हुआ", "options": [ "f1 = 12.7 cm f2 = 7.8 cm", "f1 = 7.8 cm f2 = 12.7 cm", "f1 = 7.8 cm f2 = 25.4 cm", "f1 = 15.6 cm f2 = 25.4 cm" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_2_28_page19.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "58", "question": "वह \"N\" जो निम्न यौगिक की क्षारीय प्रवृत्ति में योगदान नहीं देता है, वह है :", "options": [ "N 7", "N 9", "N 1", "N 3" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_58_page34.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "29", "question": "एक ट्रांजिस्टर का common-emitter (CE) अभिविन्यास में निवेश-अभिरोधनात्मक मापना किया गया। तब निवेश-प्रतिरोध के व्युत्क्रम का निम्न में से कौन-सा ग्राफ उचित है?", "options": [ "image_JEE_Main_2016_paper_3_option_29_page22.png", "image_JEE_Main_2016_paper_3_option_29_page22_1.png", "image_JEE_Main_2016_paper_3_option_29_page22_2.png", "image_JEE_Main_2016_paper_3_option_29_page23.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "computer concepts", "category_original_lang": "कंप्यूटर अवधारणाएँ", "original_question_num": "23", "question": "दिए गए परिपथ से 1 निर्गम प्राप्त करने के लिये आवश्यक निवेश होना चाहिए :", "options": [ "a = 0, b = 1, c = 0", "a = 1, b = 0, c = 0", "a = 1, b = 0, c = 1", "a = 0, b = 0, c = 1" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_23_page18.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "66", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार \\(n\\) है, तो \\(n\\) निम्न में से किस समीकरण को संतुष्ट करता है?", "options": [ "image_JEE_Main_2016_paper_3_equation_66_choice_0.png", "image_JEE_Main_2016_paper_3_equation_66_choice_1.png", "image_JEE_Main_2016_paper_3_equation_66_choice_2.png", "image_JEE_Main_2016_paper_3_equation_66_choice_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_66.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "67", "question": "यदि इस छवि में दिखाए गए अभिव्यक्ति के प्रसार में \\(x^{-2}\\) तथा \\(x^{-4}\\) के गुणांक क्रमशः \\(m\\) तथा \\(n\\) हैं, तो \\(\\frac{m}{n}\\) बराबर है:", "options": [ "182", "\\(\\frac{4}{5}\\)", "\\(\\frac{5}{4}\\)", "27" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_67.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "'r' त्रिज्या के धातु वृतीय-तार-लूप का पृष्ठ, B = B0e^(-t/τ) द्वारा बदलते हुए चुंबकीय-क्षेत्र के लम्बवत रखा है। जहाँ समय t = 0 पर B0 तथा τ अचर हैं। यदि लूप का प्रतिरोध R है, तब पर्याप्त लम्बे समय (t → ∞) गुजरने के बाद उस लूप में पैदा हुई ऊर्जा है :", "options": [ "image_JEE_Main_2016_paper_3_option_17_page14.png", "image_JEE_Main_2016_paper_3_option_17_page14_1.png", "image_JEE_Main_2016_paper_3_option_17_page14_2.png", "image_JEE_Main_2016_paper_3_option_17_page14_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "77", "question": "अवकल समीकरण \\(\\frac{dy}{dx} + \\frac{y}{2} \\sec x = \\frac{\\tan x}{2y}\\) जहाँ \\(0 \\leq x < \\frac{\\pi}{2}\\) है तथा \\(y(0) = 1\\) है, का हल है :", "options": [ "image_JEE_Main_2016_paper_3_option_77_page43.png", "image_JEE_Main_2016_paper_3_option_77_page43_1.png", "image_JEE_Main_2016_paper_3_option_77_page43_2.png", "image_JEE_Main_2016_paper_3_option_77_page43_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "78", "question": "प्रकाश की एक किरण एक रेखा की दिशा में आपतित है जो एक अन्य रेखा इस छवि में दिखाए गए समीकरण को बिंदु \\((0, 1)\\) पर मिलती है। वह किरण फिर इस बिंदु से रेखा \\(y + 2x = 1\\) की दिशा में परावर्तित होती है, तो आपतित प्रकाश की किरण का समीकरण है :", "options": [ "\\(41x - 38y + 38 = 0\\)", "\\(41x + 25y - 25 = 0\\)", "\\(41x + 38y - 38 = 0\\)", "\\(41x - 25y + 25 = 0\\)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_78.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "75", "question": "समाकलन 4 से 10 तक इस छवि में दिखाए गए अभिव्यक्ति का मान है, जहाँ [x], x से कम या x के बराबर महत्तम पूर्णांक है।", "options": [ "6", "3", "7", "1/3" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_equation_75.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "76", "question": "x ε R, x ≠ 0, के लिए, यदि y(x) एक ऐसा अवकलनीय फलन है कि इस छवि में दिखाए गए समीकरण के अनुसार, तो y(x) बराबर है : (जहाँ C एक अचर है)", "options": [ "C/x e^(-1/x)", "C/x^2 e^(-1/x)", "C/x^3 e^(-1/x)", "Cx^3 1/e^x" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_equation_76.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "18", "question": "शून्य में चल रही वैद्युत-चुम्बकीय तरंग के लिए सही विकल्प चुनिए।", "options": [ "image_JEE_Main_2016_paper_3_option_18_page15.png", "image_JEE_Main_2016_paper_3_option_18_page15_1.png", "image_JEE_Main_2016_paper_3_option_18_page15_2.png", "image_JEE_Main_2016_paper_3_option_18_page16.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "69", "question": "इस छवि में दिखाए गए योगफल का मान क्या है?", "options": [ "(11!)
", "10 × (11!)
", "101 × (10!)
", "11 × (11!)" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_equation_69.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "70", "question": "इस छवि में दिखाए गए सीमा का मान क्या है?", "options": [ "-2
", "-\\(\\frac{1}{2}\\)
", "\\(\\frac{1}{2}\\)
", "2" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_70.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "4", "question": "10 किग्रा द्रव्यमान के पिंड के लिये वेग-समय ग्राफ चित्र में दिया है। पिंड पर पहले 2 से. में किया गया कार्य है :", "options": [ "12000 J", "–12000 J", "–4500 J", "–9300 J" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_4_page3.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "5", "question": "दिये गये चित्र में तार ABC एक समान है। यदि संहति-केंद्र बिंदु A के ऊर्ध्वाधर नीचे स्थित है, तब BC/AB लगभग है:", "options": [ "1.85", "1.37", "1.5", "3" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_5_page3.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "24", "question": "इस छवि में दिखाए गए माड्युलित सिग्नल की द्योतक के लिए वाहक आवृत्ति f_c, संदेश आवृत्ति f_m तथा माड्युलन इंडेक्स μ क्रमशः हैं :", "options": [ "f_c = 200 Hz ; f_m = 50 Hz ; μ = 1/2", "f_c = 150 Hz ; f_m = 50 Hz ; μ = 2/3", "f_c = 150 Hz ; f_m = 30 Hz ; μ = 1/3", "f_c = 200 Hz ; f_m = 30 Hz ; μ = 1/2" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_equation_24.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "25", "question": "m द्रव्यमान के कण पर F बल लग रहा है, और उसके लिये आपेक्षिक सम्बन्ध इस छवि में दिखाया गया है। इस सम्बन्ध के सत्यापन के लिए शून्य अवस्था से कण की गति का प्रेक्षण (Observation) कर निम्नलिखित में से कौन सा ग्राफ सर्वोत्तम होगा?", "options": [ "t^2 के विरुद्ध v(t)", "1/t^2 के विरुद्ध log v(t)", "t के विरुद्ध log v(t)", "1/t के विरुद्ध log v(t)" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_25.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "61", "question": "मान P तथा Q दो समुच्चय हैं, तो :", "options": [ "P ⊂ Q तथा Q - P ≠ φ", "Q ⊂ P", "P ⊂ Q", "P = Q" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_61.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "15", "question": "एक पतली धातु शीट पत्र के लम्बवत रखी है और चित्र में दिखाई दिशा में वेग 'v' से एक समान चुंबकीय-क्षेत्र B में चल रही है। चुंबकीय-क्षेत्र इस पत्र के पृष्ठ में प्रविष्ट कर रहा है। यदि इस शीट की बाईं और दाईं सतहों पर क्रमशः पृष्ठ-आवेश-घनत्व σ1 तथा σ2 प्रेरित होते हैं, तब उपांत-प्रभाव को नगण्य मानते हुए σ1 तथा σ2 के मान होंगे :", "options": [ "image_JEE_Main_2016_paper_3_option_15_page12.png", "image_JEE_Main_2016_paper_3_option_15_page12_1.png", "image_JEE_Main_2016_paper_3_option_15_page12_2.png", "image_JEE_Main_2016_paper_3_option_15_page12_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_15_page12.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "82", "question": "एक अतिपरवलय, जिसका अनुप्रस्थ अक्ष शांकव इस छवि में दिखाए गए दीर्घ अक्ष की दिशा में है तथा जिसके शीर्ष इस शांकव की नाभियों पर हैं। यदि अतिपरवलय की उत्केन्द्रता \\( \\frac{3}{2} \\) है, तो निम्न में से कौन सा बिंदु इस पर स्थित नहीं है?", "options": [ "(0, 2)", "\\( (\\sqrt{5}, 2\\sqrt{2}) \\)", "\\( (\\sqrt{10}, 2\\sqrt{3}) \\)", "\\( (5, 2\\sqrt{3}) \\)" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_82.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "83", "question": "एक समतल में एक त्रिभुज ABC है जिसके शीर्ष A(2, 3, 5), B(-1, 3, 2) तथा C(A, 5, μ) हैं। यदि A से होकर जाती माध्यिका निर्देशांक अक्षों पर समान रूप से झुकी है, तो इस छवि में दिखाए गए अभिव्यक्ति का मान है :", "options": [ "1130", "1348", "676", "1077" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_equation_83.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "53", "question": "नीचे दी गई अभिक्रिया क्रम पर विचार कीजिए :", "options": [ "image_JEE_Main_2016_paper_3_option_53_page32.png", "image_JEE_Main_2016_paper_3_option_53_page32_1.png", "image_JEE_Main_2016_paper_3_option_53_page32_2.png", "image_JEE_Main_2016_paper_3_option_53_page32_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_53_page32.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "पृथ्वी की सतह से 'h' दूरी पर स्थित एक उपग्रह पर एक 'm' द्रव्यमान का अंतरिक्ष-यात्री काम कर रहा है। पृथ्वी का द्रव्यमान 'M' तथा त्रिज्या 'R' है। तब उस यात्री पर लगा हुआ गुरुत्वाकर्षण बल FG है :", "options": [ "image_JEE_Main_2016_paper_3_option_6_page4.png", "image_JEE_Main_2016_paper_3_option_6_page4_1.png", "image_JEE_Main_2016_paper_3_option_6_page4_2.png", "image_JEE_Main_2016_paper_3_option_6_page4_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "90", "question": "निम्न कथन का प्रतिपादनात्मक (contrapositive) है : \"यदि किसी वर्ग की भुजा दुगुनी हो जाए, तो उसका क्षेत्रफल चार गुना बढ़ जाता है\" :", "options": [ "image_JEE_Main_2016_paper_3_equation_90_choice_0.png", "image_JEE_Main_2016_paper_3_equation_90_choice_1.png", "image_JEE_Main_2016_paper_3_equation_90_choice_2.png", "image_JEE_Main_2016_paper_3_equation_90_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "एक बोतल के मुँह की त्रिज्या 'a' है तथा लम्बाई 'b' है। एक 'b' लम्बाई और (a + Δa) त्रिज्या (Δa<0), आरेखित किये गये हैं और उनकी त्रिज्याएँ क्रमशः r₀, r₁, r₂,........rN हैं। यदि त्रिज्याओं का अन्तराल, सभी V₀ तथा ΔV के मानों के लिये, नियत है तब :", "options": [ "ρ(r) ∝ r", "ρ(r) = अचर", "ρ(r) ∝ 1/r", "ρ(r) ∝ 1/r²" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "80", "question": "उस वृत्त जिसका केंद्र सरल रेखाओं x - y = 1 तथा 2x + y = 3 का प्रतिच्छेद बिंदु है, के बिंदु (1, -1) पर खींची गई स्पर्श रेखा का समीकरण है :", "options": [ "image_JEE_Main_2016_paper_3_equation_80_choice_0.png", "image_JEE_Main_2016_paper_3_equation_80_choice_1.png", "image_JEE_Main_2016_paper_3_equation_80_choice_2.png", "image_JEE_Main_2016_paper_3_equation_80_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "81", "question": "P तथा Q परवलय इस छवि में दिखाए गए समीकरण पर स्थित दो भिन्न बिंदु हैं जिनके प्राचल क्रमशः t तथा t_1 हैं। यदि P पर खींचा गया अभिलंब Q से होकर जाता है, तो t_1^2 का न्यूनतम मान है :", "options": [ "2", "4", "6", "8" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_81.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "16", "question": "एक लड़ाकू जहाज की लम्बाई 20 m, पंखों के सिरों के बीच दूरी 15 m तथा ऊंचाई 5 m है, और यह दिल्ली के ऊपर पूर्व-दिशा में 240 ms^(-1) गति से उड़ रहा है। दिल्ली के ऊपर पृथ्वी का चुंबकीय-क्षेत्र 5×10^(-5) T है, डिक्लिनेशन कोण 0° है, तथा डिप कोण के लिये sin θ = 2/3 है। यदि प्रेरित-विवश V_B जहाज के ऊपर व नीचे के बीच ; V_W पंखों के सिरों के बीच। तब :\n(1) V_B = 45 mV ; V_W = 120 mV दायां पंख- सिरा +ve\n(2) V_B = 45 mV ; V_W = 120 mV बायां पंख- सिरा -ve\n(3) V_B = 40 mV ; V_W = 135 mV दायां पंख- सिरा +ve\n(4) V_B = 40 mV ; V_W = 135 mV बायां पंख- सिरा -ve", "options": [ "image_JEE_Main_2016_paper_3_equation_16_choice_0.png", "image_JEE_Main_2016_paper_3_equation_16_choice_1.png", "image_JEE_Main_2016_paper_3_equation_16_choice_2.png", "image_JEE_Main_2016_paper_3_equation_16_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "13", "question": "चित्र संधारित्रों का निकाय दर्शाता है, जहाँ अंक μF में धारिताएँ दर्शाते हैं। A व B के बीच प्रभावी धारिता 1 μF होने के लिये C की धारिता होनी चाहिये :", "options": [ "31/23 μF", "32/23 μF", "33/23 μF", "34/23 μF" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_13_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "8", "question": "एक कार्नॉट फ्रीजर अपने अंदर 0°C पर रखे हुए जल से ऊष्मा लेकर उसे कमरे के तापमान 27°C पर निष्कासित करता है। बर्फ का गुप्त ऊष्मा इस छवि में दिखाए गए मान के बराबर है। यदि फ्रीजर में रखा 0°C पर 5 kg जल, 0°C पर बर्फ में बदलता है तब फ्रीजर द्वारा खपत की गई ऊर्जा लगभग है :", "options": [ "1.67 × 10⁵ J", "1.68 × 10⁶ J", "1.51 × 10⁵ J", "1.71 × 10⁷ J" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_8.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "52", "question": "नीचे दिये गये प्रतिकियाओं में साइक्लोहेक्सीन का ब्रोमिनेशन देता है :", "options": [ "image_JEE_Main_2016_paper_3_option_52_page31.png", "image_JEE_Main_2016_paper_3_option_52_page31_1.png", "image_JEE_Main_2016_paper_3_option_52_page31_2.png", "image_JEE_Main_2016_paper_3_option_52_page31_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2016_paper_3_52_page31.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "9", "question": "किसी आदर्श गैस के लिये स्थिर तापमान पर उसके दाब 'P' तथा घनत्व 'ρ' के बीच संबंध के लिये निम्न में से कौन-सा चित्र सही है ?", "options": [ "image_JEE_Main_2016_paper_3_option_9_page7.png", "image_JEE_Main_2016_paper_3_option_9_page7_1.png", "image_JEE_Main_2016_paper_3_option_9_page7_2.png", "image_JEE_Main_2016_paper_3_option_9_page7_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "14", "question": "बिजली से चलने वाले टोस्टर के प्रतिरोध का तापमान से बदलाव इस छवि में दिखाए गए समीकरण द्वारा दिया गया है। T₀ = 300 K पर R = 100 Ω है तथा T = 500 K पर R = 120 Ω है। टोस्टर 200 V के स्रोत से जुड़ा है, तथा इसका तापमान 300 K से एक समान दर पर बढ़कर 30 s में 500 K हो जाता है। तब इस प्रकार में किया गया कुल कार्य है :", "options": [ "400 ln 1.5/1.3 J", "200 ln 2/3 J", "400 ln 5/6 J", "300 J" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_14.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "84", "question": "λ के वह भिन्न वास्तविक मानों की संख्या जिनके लिए रेखाएँ इस छवि में दिखाए गए समीकरण तथा दूसरी रेखा समतलीय हैं, है :", "options": [ "4", "1", "2", "3" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_84.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "62", "question": "यदि छवि में दिखाए गए समीकरण का x एक हल है, तो √4x² - 1 बराबर है:", "options": [ "3/4", "1/2", "2", "2√2" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_62.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "63", "question": "मानो इस छवि में दिखाए गए z, a > 0 एक ऐसी समिश्र संख्या है, कि z³ एक वास्तविक संख्या है, तो योग 1 + z + z² + ..... + z¹¹ बराबर है:", "options": [ "-1250 √3 i", "1250 √3 i", "1365 √3 i", "-1365 √3 i" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_63.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "73", "question": "मान लीजिए C एक वक्र है जो इस छवि में दिखाए गए समीकरण द्वारा प्रदत्त है। यदि P एक ऐसा बिंदु है कि P पर खींची गई स्पर्श रेखा की ढाल 2/3 है, तो वह बिंदु जिससे P पर खींचा गया अभिलंब गुजरता है, है :", "options": [ "(2, 3)", "(4, -3)", "(1, 7)", "(3, -4)" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_equation_73.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "74", "question": "समाकलन ∫ dx / (1 + √x) √x - x² बराबर है : (जहाँ C एक समाकलन अवय है।)", "options": [ "image_JEE_Main_2016_paper_3_option_74_page41.png", "image_JEE_Main_2016_paper_3_option_74_page41_1.png", "image_JEE_Main_2016_paper_3_option_74_page41_2.png", "image_JEE_Main_2016_paper_3_option_74_page41_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "19", "question": "एक काँच के अर्धगोलीय पिंड की त्रिज्या 10 cm तथा अपवर्तनांक 1.5 है। उसकी वक्रता सतह पर चाँदी की परत चढ़ाई गई है। समतल पृष्ठ के 6 cm नीचे तथा अक्ष पर, एक सूक्ष्म वायु का बुलबुला स्थित है। तब काँच-दर्पण से बन रहे बुलबुले की प्रतिविम्ब दूरी है :", "options": [ "समतल सतह से 14 cm नीचे", "समतल सतह से 30 cm नीचे", "समतल सतह से 20 cm नीचे", "समतल सतह से 16 cm नीचे" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_19_page16.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "71", "question": "माना a, b ∈ R, (a ≠ 0) । यदि फलन f जो, इस छवि में दिखाए गए द्वारा परिभाषित है, अंतराल [0, ∞) में सतत है, तो एक क्रमित युग्म (a, b) है :", "options": [ "(√2, 1 - √3)", "(- √2, 1 + √3)", "(√2, -1 + √3)", "(- √2, 1 - √3)" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_71.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "72", "question": "माना f(x) = sin⁴x + cos⁴x है, तो निम्न में से किस अंतराल में f एक वर्धमान फलन है ?", "options": [ "image_JEE_Main_2016_paper_3_option_72_page40.png", "image_JEE_Main_2016_paper_3_option_72_page40_1.png", "image_JEE_Main_2016_paper_3_option_72_page40_2.png", "image_JEE_Main_2016_paper_3_option_72_page40_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "64", "question": "मान A, 3 × 3 का एक ऐसा आव्यूह है कि इस छवि में दिखाए गए समीकरण को संतुष्ट करता है। \nकथन - I : A⁻¹ = 1/7 (5I - A)। \nकथन - II : बहुपद A³ - 2A² - 3A + I को 5(A - 4I) में परिवर्तित किया जा सकता है।", "options": [ "कथन - I सत्य है लेकिन कथन - II असत्य है।", "कथन - I असत्य है लेकिन कथन - II सत्य है।", "दोनों कथन सत्य हैं।", "दोनों कथन असत्य हैं।" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_equation_64.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "65", "question": "यदि A = [ -4 -1 3 1 ], तो छवि में दिखाए गए आव्यूह का सारणिक है :", "options": [ "2014", "-175", "2016", "-25" ], "answer": 3, "image_png": "image_JEE_Main_2016_paper_3_equation_65.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "27", "question": "एक गैल्वेनोमीटर की स्केल 50 भागों में बंटी है। बैटरी का आंतरिक प्रतिरोध शून्य है। यदि R = 2400 Ω है तो विचलन = 40 भाग है। यदि R = 4900 Ω है तो विचलन = 20 भाग है। तब हम निष्कर्ष कर सकते हैं कि :", "options": [ "गैल्वेनोमीटर का प्रतिरोध 200 Ω है।", "फुल-स्केल विचलन के लिये धारा 2 mA है।", "गैल्वेनोमीटर की धारा-संवेदनशीलता 20 μA प्रति भाग है।", "विचलन = 10 भाग के लिये R = 9800 Ω।" ], "answer": 2, "image_png": "image_JEE_Main_2016_paper_3_27_page21.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "1", "question": "A, B, C तथा D चार भिन्न मात्राएँ हैं जिनकी विमाएँ भिन्न हैं। कोई भी मात्रा विमा-रहित मात्रा नहीं है, लेकिन AD = C ln(BD) सत्य है। तब निम्न में से कौन-सा आयाम-रहित मात्रा है ?", "options": [ "image_JEE_Main_2016_paper_3_option_1_page1.png", "image_JEE_Main_2016_paper_3_option_1_page1_1.png", "image_JEE_Main_2016_paper_3_option_1_page1_2.png", "image_JEE_Main_2016_paper_3_option_1_page1_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "10.04.2016-Online-Exam", "source": "https://byjus.com/jee/jee-main-2016-question-paper/#:~:text=of%20April%202016-,JEE%20Main%202016%20Paper,-JEE%20Main%202016", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "द्रव्यमान M का एक कण निश्चित त्रिज्या R के वृत्तीय पथ पर इस प्रकार चल रहा है कि समय t पर अभिकेन्द्रीय त्वरण इस छवि में दिखाए गए द्वारा दिया जा सकता है, जहाँ 'n' स्थिर है। तब कण पर लग रहे बल द्वारा उसको दी गई शक्ति है :", "options": [ "M n^2 R^2 t", "M n R^2 t", "M n R^2 t^2", "1/2 M n^2 R^2 t^2" ], "answer": 0, "image_png": "image_JEE_Main_2016_paper_3_equation_2.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "75", "question": "इस छवि में दिखाए गए समाकल का मान π/4 से 3π/4 तक बराबर है :", "options": [ "2", "4", "-1", "-2" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_75.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "76", "question": "इस छवि में दिखाए गए क्षेत्र का क्षेत्रफल (वर्ग इकाइयों) में है :", "options": [ "3/2", "7/3", "5/2", "59/12" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_76.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "77", "question": "यदि इस छवि में दिखाए गए समीकरण तथा y(0) = 1 है, तो y(π/2) बराबर है :", "options": [ "-2/3", "-1/3", "4/3", "1/3" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_equation_77.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "12", "question": "एक कण, आवर्तकाल T से सरल आवर्ती गति कर रहा है। समय t = 0 पर वह साम्यावस्था की स्थिति में है। निम्न में से कौन सा ग्राफ समय के साथ गतिज ऊर्जा को सही दर्शाता है ?", "options": [ "image_JEE_Main_2017_paper_1_option_12_page7.png", "image_JEE_Main_2017_paper_1_option_12_page7_1.png", "image_JEE_Main_2017_paper_1_option_12_page7_2.png", "image_JEE_Main_2017_paper_1_option_12_page7_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "24", "question": "द्रव्यमान m एवं आरम्भिक वेग v के एक कण-A की टक्कर द्रव्यमान m/2 के स्थिर कण-B से होती है। यह टक्कर समुपूर्ण एवं प्रत्यास्थ है। टक्कर के बाद डि-ब्रॉगली तरंगदैर्घ्य λA एवं λB का अनुपात होगा :", "options": [ "image_JEE_Main_2017_paper_1_option_24_page14.png", "image_JEE_Main_2017_paper_1_option_24_page14_1.png", "image_JEE_Main_2017_paper_1_option_24_page14_2.png", "image_JEE_Main_2017_paper_1_option_24_page14_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "25", "question": "एक अणु के कुछ ऊर्जा स्तरों को चित्र में दिखाया गया है। तरंगदैर्घ्य के अनुपात r = λ1/λ2 का मान होगा :", "options": [ "r = 4/3", "r = 2/3", "r = 3/4", "r = 1/3" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_25_page14.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "26", "question": "एक रेडियोधर्मी नाभिक-A जिसकी अर्ध-आयु T है, का क्षय एक नाभिक-B में होता है। समय t=0 पर कोई भी नाभिक-B नहीं है। एक समय t पर नाभिकों B तथा A की संख्या का अनुपात 0.3 है। तो t का मान होगा :", "options": [ "image_JEE_Main_2017_paper_1_option_26_page15.png", "image_JEE_Main_2017_paper_1_option_26_page15_1.png", "image_JEE_Main_2017_paper_1_option_26_page15_2.png", "image_JEE_Main_2017_paper_1_option_26_page15_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "88", "question": "यदि इस छवि में दिखाए गए समीकरण के लिए, cos 4x का मान है :", "options": [ "1/3", "2/9", "-7/9", "-3/5" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_88.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "reasoning", "category_original_lang": "तर्कशक्ति", "original_question_num": "90", "question": "निम्न कथन छवि में दिखाए गए कथन के समान है :", "options": [ "~p→q के समतुल्य है", "p→q के समतुल्य है", "एक हेंलपास (fallacy) है", "एक पुनरुक्ति (tautology) है" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_equation_90.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "38", "question": "हाइड्रोजन परमाणु के द्वितीय बोर कक्षा का अर्धव्यास होगा : (प्लांक स्थिरांक इस छवि में दिखाया गया है; इलेक्ट्रॉन का द्रव्यमान = 9.1091 × 10⁻³¹ kg; इलेक्ट्रॉन पर आवेश e = 1.60210 × 10⁻¹⁹ C; निर्वात का परावैद्युतांक ε₀ = 8.854185 × 10⁻¹² kg⁻¹m⁻³A²)", "options": [ "0.529 Å", "2.12 Å", "1.65 Å", "4.76 Å" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_1_equation_38.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "10", "question": "स्थिर दाब तथा स्थिर आयतन पर विशिष्ट ऊष्मायें क्रमशः Cp तथा Cv हैं। पाया जाता है कि\nहाइड्रोजन के लिये, Cp - Cv = a\nनाइट्रोजन के लिये, Cp - Cv = b\na और b के बीच का सही सम्बन्ध होगा :", "options": [ "image_JEE_Main_2017_paper_1_equation_10_choice_0.png", "image_JEE_Main_2017_paper_1_equation_10_choice_1.png", "image_JEE_Main_2017_paper_1_equation_10_choice_2.png", "image_JEE_Main_2017_paper_1_equation_10_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "79", "question": "न्यूनतम क्षेत्रफल वाले ऐसे वृत्त, जो इस छवि में दिखाए गए वक्र तथा रेखाओं \\(y = |x|\\) को स्पर्श करता है, की त्रिज्या है :", "options": [ "\\(2(\\sqrt{2} - 1)\\)", "\\(4(\\sqrt{2} - 1)\\)", "\\(4(\\sqrt{2} + 1)\\)", "\\(2(\\sqrt{2} + 1)\\)" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_1_equation_79.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "80", "question": "एक दीर्घवृत्त, जिसका केंद्र मूल बिंदु पर है, की उत्केन्द्रता \\(\\frac{1}{2}\\) है। यदि उसकी एक नियता \\(x = -4\\) है, तो उसके बिंदु \\(\\left(1, \\frac{3}{2}\\right)\\) पर उसके अभिलंब का समीकरण है :", "options": [ "image_JEE_Main_2017_paper_1_option_80_page35.png", "image_JEE_Main_2017_paper_1_option_80_page35_1.png", "image_JEE_Main_2017_paper_1_option_80_page35_2.png", "image_JEE_Main_2017_paper_1_option_80_page35_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "60", "question": "निम्न अभिक्रिया में प्राप्त मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_1_option_60_page28.png", "image_JEE_Main_2017_paper_1_option_60_page28_1.png", "image_JEE_Main_2017_paper_1_option_60_page28_2.png", "image_JEE_Main_2017_paper_1_option_60_page28_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_60_page28.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "X-किरणें उत्पन्न करने के लिये एक इलेक्ट्रॉन किरणपुंज को विभवान्तर V से त्वरित करके धातु की फोट पर आपतित किया जाता है। इससे विविध (characteristic) एवं अविरत (continuous) X-किरणें उत्पन्न होती हैं। यदि X-किरण स्पेक्ट्रम में न्यूनतम संभव तरंगदैर्घ्य λmin है तो log λmin का log V के साथ बदलाव किस चित्र में सही दिखाया गया है?", "options": [ "image_JEE_Main_2017_paper_1_option_21_page12.png", "image_JEE_Main_2017_paper_1_option_21_page12_1.png", "image_JEE_Main_2017_paper_1_option_21_page12_2.png", "image_JEE_Main_2017_paper_1_option_21_page12_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "51", "question": "मोनोनाइट्रेशन अभिक्रिया में निम्न में से कौन सा यौगिक मेटा उत्पाद की महत्वपूर्ण मात्रा उत्पन्न करेगा?", "options": [ "image_JEE_Main_2017_paper_1_option_51_page24.png", "image_JEE_Main_2017_paper_1_option_51_page24_1.png", "image_JEE_Main_2017_paper_1_option_51_page24_2.png", "image_JEE_Main_2017_paper_1_option_51_page24_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "52", "question": "निम्न में से कौन, tert-BuONa के साथ अभिक्रियित करने तथा ब्रोमिन जल के मिलाने पर, ब्रोमिन के रंग को रंगहीन करने में असमर्थ होता है?", "options": [ "image_JEE_Main_2017_paper_1_option_52_page24.png", "image_JEE_Main_2017_paper_1_option_52_page24_1.png", "image_JEE_Main_2017_paper_1_option_52_page24_2.png", "image_JEE_Main_2017_paper_1_option_52_page24_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "70", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?", "options": [ "1/16", "1/8", "1/4", "1/24" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_70.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "71", "question": "यदि x ∈ (0, 1/4) के लिए tan⁻¹(6x√x / 1 - 9x³) का अवकलन √x ⋅ g(x) है, तो g(x) बराबर है :", "options": [ "image_JEE_Main_2017_paper_1_option_71_page32.png", "image_JEE_Main_2017_paper_1_option_71_page32_1.png", "image_JEE_Main_2017_paper_1_option_71_page32_2.png", "image_JEE_Main_2017_paper_1_option_71_page32_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "72", "question": "वक्र इस छवि में दिखाए गए समीकरण के उस बिंदु पर, जहाँ वक्र y-अक्ष को काटती है, खींचा गया अभिलंब निम्न में से किस बिंदु से होकर जाता है?", "options": [ "(1/2, 1/2)", "(1/2, -1/3)", "(1/2, 1/3)", "(-1/2, 1/2)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_72.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "74", "question": "मानो इस छवि में दिखाए गए I_n है। यदि I_4 + I_6 = a tan^5 x + bx^5 + C है, जहाँ C एक समाकलन अवय है, तो क्रमित युग्म (a, b) बराबर है :", "options": [ "(1/5, 0)", "(1/5, -1)", "(-1/5, 0)", "(-1/5, 1)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_74.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "54", "question": "निम्न में से कौन सा अणु अनुनादिक रूप से न्यूनतम स्थिर है ?", "options": [ "image_JEE_Main_2017_paper_1_option_54_page25.png", "image_JEE_Main_2017_paper_1_option_54_page25_1.png", "image_JEE_Main_2017_paper_1_option_54_page25_2.png", "image_JEE_Main_2017_paper_1_option_54_page25_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "55", "question": "Sn1 अभिक्रिया के लिए निम्न हैलाइडों की अभिक्रियात्मकता का बढ़ता क्रम है :", "options": [ "(I) < (III) < (II)", "(II) < (III) < (I)", "(III) < (II) < (I)", "(II) < (I) < (III)" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_55_page25.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "61", "question": "फलन f : R → [ -1/2, 1/2 ] जो इस छवि में दिखाए गए द्वारा परिभाषित है :", "options": [ "एकेक है परंतु आक्रामी नहीं है।", "आक्रामी है परंतु एकेक नहीं है।", "न तो आक्रामी और न ही एकेक है।", "व्युत्क्रमणीय है।" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_1_equation_61.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "62", "question": "यदि किसी धनपूर्णांक n के लिए, इस छवि में दिखाए गए द्विघाती समीकरण के दो क्रमिक पूर्णांक हल हैं, तो n बराबर है :", "options": [ "9", "10", "11", "12" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_62.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "63", "question": "मानो ω एक सम्मिश्र संख्या ऐसी है कि 2ω + 1 = z जहाँ z = √-3 है। यदि इस छवि में दिखाए गए निर्धारक का मान 3k है तो k बराबर है :", "options": [ "z", "-1", "1", "-z" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_equation_63.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "ऊपर दिये गये परिपथ में प्रत्येक प्रतिरोध में धारा का मान होगा :", "options": [ "1 A", "0.25 A", "0.5 A", "0 A" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_17_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "18", "question": "एक चुम्बकीय आघूर्ण इस छवि में दिखाए गए मान एवं जड़त्व आघूर्ण इस छवि में दिखाए गए मान वाली चुम्बकीय सुई, एक 0.01 T तीव्रता के चुम्बकीय क्षेत्र में सरल आवर्त्त दोलन कर रही है। 10 पूरे दोलन का समय होगा :", "options": [ "6.65 s", "8.89 s", "6.98 s", "8.76 s" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_18.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "3", "question": "m=10^-2 kg द्रव्यमान का एक पिंड एक माध्यम में जा रहा है और एक घर्षण बल का अनुभव करता है। पिंड का प्रारंभिक वेग v_0 = 10 ms^-1 है। यदि 10 s के बाद उसकी ऊर्जा 1/8 m v_0^2 है तो k का मान होगा :", "options": [ "10^-3 kg m^-1", "10^-3 kg s^-1", "10^-4 kg m^-1", "10^-1 kg m^-1 s^-1" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_3.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "64", "question": "यदि छवि में दिखाए गए A के लिए, adj (3A^2 + 12A) बराबर है :", "options": [ "\\(\\begin{bmatrix} 51 & 63 \\\\ 84 & 72 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 51 & 84 \\\\ 63 & 72 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 72 & -63 \\\\ -84 & 51 \\end{bmatrix}\\)", "\\(\\begin{bmatrix} 72 & -84 \\\\ -63 & 51 \\end{bmatrix}\\)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_64.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "65", "question": "यदि S, 'b' की उन विभिन्न मानों का समूह है जिनके लिए इस छवि में दिखाए गए रैखिक समीकरण निकाय का कोई हल नहीं है, तो S है :", "options": [ "एक अपरिमित समूह है", "एक परिमित समूह है जिसमें दो या अधिक अवयव हैं", "एक ही अवयव वाला समूह है", "एक रिक्त समूह है" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_65.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "56", "question": "निम्न अभिक्रिया में प्राप्त होने वाला मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_1_option_56_page26.png", "image_JEE_Main_2017_paper_1_option_56_page26_1.png", "image_JEE_Main_2017_paper_1_option_56_page26_2.png", "image_JEE_Main_2017_paper_1_option_56_page26_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_56_page26.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "57", "question": "एक जलीय KOH विलयन में निम्न में से कौन सा यौगिक एक अपचायक शर्करा के रूप में व्यवहार करेगा ?", "options": [ "image_JEE_Main_2017_paper_1_option_57_page26.png", "image_JEE_Main_2017_paper_1_option_57_page26_1.png", "image_JEE_Main_2017_paper_1_option_57_page26_2.png", "image_JEE_Main_2017_paper_1_option_57_page26_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "59", "question": "निम्न रूपान्तरण के लिए अभिकर्मकों का सही क्रम होगा :", "options": [ "image_JEE_Main_2017_paper_1_option_59_page27.png", "image_JEE_Main_2017_paper_1_option_59_page27_1.png", "image_JEE_Main_2017_paper_1_option_59_page27_2.png", "image_JEE_Main_2017_paper_1_option_59_page27_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_59_page27.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "67", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है :", "options": [ "2^21 - 2^10", "2^20 - 2^9", "2^20 - 2^10", "2^21 - 2^11" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_equation_67.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "68", "question": "यदि तीन धनात्मक वास्तविक संख्याओं a, b, और c के लिए दिया गया समीकरण सत्य है, तो इसका क्या अर्थ है? विवरण के लिए दिए गए समीकरण का संदर्भ लें।", "options": [ "b, c तथा a समान्तर श्रेणी में हैं", "a, b तथा c समान्तर श्रेणी में हैं", "a, b तथा c गुणोत्तर श्रेणी में हैं", "b, c तथा a गुणोत्तर श्रेणी में हैं" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_68.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "एक पिंड को ऊर्ध्वाधर ऊपर की तरफ फेंका जाता है। निम्न में से कौन सा ग्राफ समय के साथ वेग को सही दर्शाता है?", "options": [ "image_JEE_Main_2017_paper_1_option_2_page2.png", "image_JEE_Main_2017_paper_1_option_2_page2_1.png", "image_JEE_Main_2017_paper_1_option_2_page2_2.png", "image_JEE_Main_2017_paper_1_option_2_page2_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "20", "question": "चुम्बकीय फ्लक्स के बदलने से 100 Ω प्रतिरोध की कुण्डली में प्रेरित धारा को चित्र में दर्शाया गया है। कुण्डली से गुजरने वाले फ्लक्स में बदलाव का परिमाण होगा :", "options": [ "200 Wb", "225 Wb", "250 Wb", "275 Wb" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_20_page11.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "पृथ्वी के केन्द्र से दूरी d के साथ गुरुत्वीय त्वरण g का बदलाव निम्न में से किस ग्राफ में सबसे सही दर्शाया गया है? (R = पृथ्वी की त्रिज्या)", "options": [ "image_JEE_Main_2017_paper_1_option_7_page5.png", "image_JEE_Main_2017_paper_1_option_7_page5_1.png", "image_JEE_Main_2017_paper_1_option_7_page5_2.png", "image_JEE_Main_2017_paper_1_option_7_page5_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "82", "question": "एक समतल जो बिंदु (1, −1, −1) से होकर जाता है तथा जिसका अभिलम्ब छवि में दिखाए गए रेखा पर लंब है, की बिंदु (1, 3, −7) से दूरी है :", "options": [ "10/√83", "5/√83", "10/√74", "20/√74" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_82.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "83", "question": "यदि बिंदु P(1, −2, 3) का समतल इस छवि में दिखाए गए समीकरण में वह प्रतिविंब जो रेखा x/1 = y/4 = z/5 के समांतर है, Q है, तो PQ बराबर है :", "options": [ "2√42", "√42", "6√5", "3√5" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_83.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "39", "question": "दो अभिक्रियाओं, R1 तथा R2 के पूर्व घातांकिकी गुणक एक जैसे हैं। R1 की सक्रियण ऊर्जा R2 के सक्रियण ऊर्जा से 10 kJ mol^−1 ज्यादा है। यदि अभिक्रिया R1 तथा R2 के लिए 300 K पर दर नियतांक क्रमशः k1 तथा k2 हों तो इस छवि में दिखाए गए ln(k2/k1) निम्न में से किसके बराबर होगा? (R = 8.314 J mol^−1K^−1)", "options": [ "6", "4", "8", "12" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_1_equation_39.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "16", "question": "दिये गये परिपथ में जब धारा स्थिरावस्था में पहुँच जाती है तो धारिता C के संधारित्र पर आवेश का मान होगा :", "options": [ "CE", "CE \\(\\frac{r_1}{(r_2 + r)}\\)", "CE \\(\\frac{r_2}{(r + r_2)}\\)", "CE \\(\\frac{r_1}{(r_1 + r)}\\)" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_1_16_page9.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "31", "question": "ऊपर दिये गये उष्मारसायनिक समीकरणों के आधार पर 298 K पर अभिक्रिया C(graphite) + 2H2(g) → CH4(g) के ΔH° का मान होगा :", "options": [ "-74.8 kJ mol⁻¹", "-144.0 kJ mol⁻¹", "+74.8 kJ mol⁻¹", "+144.0 kJ mol⁻¹" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_31.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "32", "question": "एक कार्बोनेट (इस छवि में दिखाए गए) के 1 ग्राम को HCl के अतिरेक्य में अभिक्रिया में डाला जाता है और उससे 0.01186 मोल CO2 पैदा होती है। M2CO3 का मोलर द्रव्यमान g mol⁻¹ में है :", "options": [ "118.6", "11.86", "1186", "84.3" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_1_equation_32.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "43", "question": "निम्न में से कौन सी अभिक्रिया अपचयोपचय (रेडॉक्स) अभिक्रिया का उदाहरण है ?", "options": [ "image_JEE_Main_2017_paper_1_option_43_page21.png", "image_JEE_Main_2017_paper_1_option_43_page21_1.png", "image_JEE_Main_2017_paper_1_option_43_page21_2.png", "image_JEE_Main_2017_paper_1_option_43_page21_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "84", "question": "माना \\( \\vec{a} = 2\\hat{i} + \\hat{j} - 2\\hat{k} \\) तथा \\( \\vec{b} = \\hat{i} + \\hat{j} \\) है। माना \\( \\vec{c} \\) एक ऐसा सदिश है कि \\( |\\vec{c} - \\vec{a}| = 3 \\), इस छवि में दिखाए गए समीकरण के अनुसार तथा \\( \\vec{c} \\) और \\( \\vec{a} \\times \\vec{b} \\) के बीच का कोण \\( 30^\\circ \\) है, तो \\( \\vec{a} \\cdot \\vec{c} \\) बराबर है :", "options": [ "2", "5", "\\( \\frac{1}{8} \\)", "\\( \\frac{25}{8} \\)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_equation_84.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "2017-Set-A", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=SET%20A%20JEE%20Main%202017%20Question%20Paper", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "एक ह्रस्वमान M एवं लम्बाई l की पतली एवं एक समान छड़ का एक सिरा धुराधर है जिससे कि वह एक ऊर्ध्वाधर समतल में घूम सकती है (चित्र देखिये)। घूर्णी का घर्षण नगण्य है। छड़ के दूसरे सिरे को घूर्णी के ऊपर ऊर्ध्वाधर रहकर छोड़ दिया जाता है। जब छड़ ऊर्ध्व से θ कोण बनाती है तो उसका कोणीय त्वरण होगा :", "options": [ "\\(\\frac{3g}{2l} \\sin \\theta\\)", "\\(\\frac{2g}{3l} \\sin \\theta\\)", "\\(\\frac{3g}{2l} \\cos \\theta\\)", "\\(\\frac{2g}{3l} \\cos \\theta\\)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_1_6_page4.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "7", "question": "x ग्राम पानी में 5 ग्राम इस छवि में दिखाए गए यौगिक को घोला गया। गलनांक में परिवर्तन 3.82°C पाया गया। यदि यह 81.5% आयनित होता है तो x का लगभग मान है : (जल के लिए Kf = 1.86°C kg mol^-1) (मोलर द्रव्यमान : S = 32 g mol^-1 तथा Na = 23 g mol^-1)", "options": [ "15 g", "25 g", "45 g", "65 g" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_chem_equation_7.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "4", "question": "एक अभिक्रिया A(g) → A(l) के लिए ΔH = −3RT. इस अभिक्रिया के लिये सही कथन है :", "options": [ "image_JEE_Main_2017_paper_2_chem_equation_4_choice_0.png", "image_JEE_Main_2017_paper_2_chem_equation_4_choice_1.png", "image_JEE_Main_2017_paper_2_chem_equation_4_choice_2.png", "image_JEE_Main_2017_paper_2_chem_equation_4_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "5", "question": "Fe³⁺ → Fe के लिये मानक अपचयन विभव (E°) क्या होगा ?", "options": [ "−0.057 V", "+0.057 V", "+0.30 V", "−0.30 V" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_chem_5_page2.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "29", "question": "निम्नलिखित अभिक्रिया का मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_2_chem_option_29_page12.png", "image_JEE_Main_2017_paper_2_chem_option_29_page12_1.png", "image_JEE_Main_2017_paper_2_chem_option_29_page12_2.png", "image_JEE_Main_2017_paper_2_chem_option_29_page12_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_chem_29_page12.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "23", "question": "निम्नलिखित में से कौन से यौगिक को बेंजीन के साथ फ्राइडल क्राफ्ट्स अभिक्रिया नहीं होगी ?", "options": [ "image_JEE_Main_2017_paper_2_chem_option_23_page9.png", "image_JEE_Main_2017_paper_2_chem_option_23_page9_1.png", "image_JEE_Main_2017_paper_2_chem_option_23_page9_2.png", "image_JEE_Main_2017_paper_2_chem_option_23_page9_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "12", "question": "जिस यौगिक युग्म में, धातुएँ अपनी उच्चतम ऑक्सीकरण अवस्था में हैं, वह है :", "options": [ "image_JEE_Main_2017_paper_2_chem_option_12_page5.png", "image_JEE_Main_2017_paper_2_chem_option_12_page5_1.png", "image_JEE_Main_2017_paper_2_chem_option_12_page5_2.png", "image_JEE_Main_2017_paper_2_chem_option_12_page5_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "15", "question": "निम्नलिखित में से किस अभिक्रिया में हाइड्रोजन पेरऑक्साइड ऑक्सीकारक के रूप में कार्य करती है ?", "options": [ "image_JEE_Main_2017_paper_2_chem_option_15_page5.png", "image_JEE_Main_2017_paper_2_chem_option_15_page5_1.png", "image_JEE_Main_2017_paper_2_chem_option_15_page5_2.png", "image_JEE_Main_2017_paper_2_chem_option_15_page5_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "21", "question": "निम्नलिखित चार यौगिकों के एक मिश्रण को 1M HCl से निष्कर्षित किया जाता है। वह यौगिक जो जलीय परत में चला जाता है, है :", "options": [ "(I)", "(II)", "(III)", "(IV)" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_chem_21_page8.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "30", "question": "निम्न अभिक्रिया का मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_2_chem_option_30_page13.png", "image_JEE_Main_2017_paper_2_chem_option_30_page13_1.png", "image_JEE_Main_2017_paper_2_chem_option_30_page13_2.png", "image_JEE_Main_2017_paper_2_chem_option_30_page13_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_chem_30_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "25", "question": "निम्नलिखित अभिक्रिया का संभावित मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_2_chem_option_25_page10.png", "image_JEE_Main_2017_paper_2_chem_option_25_page10_1.png", "image_JEE_Main_2017_paper_2_chem_option_25_page10_2.png", "image_JEE_Main_2017_paper_2_chem_option_25_page10_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_chem_25_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "16", "question": "निम्नलिखित दो तत्वों 'A' तथा 'B' की आयनन एन्थैल्पियों पर विचार कीजिए।", "options": [ "'A' और 'B' दोनों वर्ग 1 में उपस्थित हैं तथा 'B', 'A' के नीचे आता है।", "'A' और 'B' दोनों वर्ग 1 में उपस्थित हैं तथा 'A', 'B' के नीचे आता है।", "'A' और 'B' दोनों वर्ग 2 में उपस्थित हैं तथा 'B', 'A' के नीचे आता है।", "'A' और 'B' दोनों वर्ग 2 में उपस्थित हैं तथा 'A', 'B' के नीचे आता है।" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_chem_16_page6.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "17", "question": "निम्नलिखित जलीय विलयनों में मानक इलेक्ट्रोड विभव (E°) वोल्ट में दिए गए हैं:", "options": [ "Al3+ से Tl+ अधिक स्थिर है।", "Al3+ से Al+ अधिक स्थिर है।", "Al+ से Tl+ अधिक स्थिर है।", "Al3+ से Tl3+ अधिक स्थिर है।" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_chem_17_page6.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "26", "question": "निम्नलिखित अभिक्रिया का मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_2_chem_option_26_page11.png", "image_JEE_Main_2017_paper_2_chem_option_26_page11_1.png", "image_JEE_Main_2017_paper_2_chem_option_26_page11_2.png", "image_JEE_Main_2017_paper_2_chem_option_26_page11_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_chem_26_page11.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "28", "question": "नीचे दिए यौगिक का IUPAC नाम है :", "options": [ "1, 1-डाइमेथिल-2-एथिलसाइक्लोहेक्सेन", "2-एथिल-1,1-डाइमेथिलसाइक्लोहेक्सेन", "1-एथिल-2,2-डाइमेथिलसाइक्लोहेक्सेन", "2, 2-डाइमेथिल-1-एथिलसाइक्लोहेक्सेन" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_chem_28_page11.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "विषमबाहु समबाहु त्रिभुज की आकृति वाले एक पतला ABC का एक अक्ष, जो बिंदु O से जाती है तथा पतला के अभिलम्बवत है, के साथ जुड़े जड़त्व आघूर्ण I₀ है। इस पतला में से एक त्रिभुज DEF के आकार का एक छेद निकाला जाता है। यहाँ D, E व F पुजाओं के मध्य बिंदु हैं। इस कटे हुए पतला का उसी अक्ष के साथ जुड़े जड़त्व आघूर्ण होगा :", "options": [ "7/8 I₀", "15/16 I₀", "3/4 I₀", "31/32 I₀" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_phy_6_page5.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "30", "question": "एक विभवमापी PQ को दो प्रतिरोधों की तुलना करने के लिये, चित्रानुसार, समायोजित किया जाता है। यदि कुंजी K3 को खोल दिया जाये तो अमीटर A में धारा 1.0 A आती है। जब द्विमार्ग कुंजी K3 को 2 तथा 1 के बीच लगाया जाता है तो संतुलन बिन्दु P से l1 cm दूरी पर आता है, जबकि K3 को 3 तथा 1 के बीच लगाने पर, संतुलन बिन्दु P से l2 cm दूरी पर आता है। दोनों प्रतिरोधों के अनुपात R1/R2 का मान होगा :", "options": [ "l1/(l1 + l2)", "l2/(l2 - l1)", "l1/(l1 - l2)", "l1/(l2 - l1)" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_phy_30_page18.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "5", "question": "एक त्रिज्या R तथा द्रव्यमान M को एकसमान डिस्क केवल अपनी अक्ष के चारों ओर घूमने के लिये स्वतंत्र है। विन्यासानुसार इस डिस्क की परिधि पर एक डोरी लपेटकर, डोरी के स्वतंत्र सिरे से एक द्रव्यमान m को बाँधा गया है। यदि द्रव्यमान को स्थिरावस्था से छोड़ा जाता है तो उसका त्वरण होगा :", "options": [ "image_JEE_Main_2017_paper_2_phy_option_5_page4.png", "image_JEE_Main_2017_paper_2_phy_option_5_page4_1.png", "image_JEE_Main_2017_paper_2_phy_option_5_page4_2.png", "image_JEE_Main_2017_paper_2_phy_option_5_page4_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_phy_5_page4.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "12", "question": "एक सरल आवर्त गति में अधिकतम त्वरण एवं अधिकतम वेग का अनुपात इस छवि में दिखाए गए मान के बराबर है। यदि t=0 पर विस्थापन 5 m है तो अधिकतम त्वरण का मान क्या होगा? आरंभिक कला का मान π/4 है।", "options": [ "500 m/s^2", "500√2 m/s^2", "750 m/s^2", "750√2 m/s^2" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "4", "question": "एक वस्तु को धरती से h ऊँचाई से छोड़ा जाता है। जब यह वस्तु पृथ्वी से टकराती है तो प्रत्येक टक्कर में उसकी 50% गतिज ऊर्जा क्षय होती है। यदि इस छवि में दिखाए गए स्थिति में, वस्तु द्वारा तय की गयी कुल दूरी होगी :", "options": [ "2h", "∞", "\\(\\frac{5}{3}\\) h", "\\(\\frac{8}{3}\\) h" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_4.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "19", "question": "एक चुंबकीय क्षेत्र में रखे हुए चुंबकीय द्विध्रुव की :", "options": [ "image_JEE_Main_2017_paper_2_phy_equation_19_choice_0.png", "image_JEE_Main_2017_paper_2_phy_equation_19_choice_1.png", "image_JEE_Main_2017_paper_2_phy_equation_19_choice_2.png", "image_JEE_Main_2017_paper_2_phy_equation_19_choice_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "20", "question": "तार से बने वृत्तीय a के छोटे वृत्ताकार लूप को वृत्तीय b के एक बहुत वृत्ताकार लूप के केंद्र पर रखा गया है। दोनों लूप एक ही समतल में हैं। वृत्तीय b के बाह्य लूप में एक प्रत्यावर्ती धारा I = I₀ cos (ωt) प्रवाहित की जाती है। वृत्तीय a वाले आंतरिक लूप में प्रेरित विद्युत वाहक बल होगा :", "options": [ "image_JEE_Main_2017_paper_2_phy_option_20_page12.png", "image_JEE_Main_2017_paper_2_phy_option_20_page12_1.png", "image_JEE_Main_2017_paper_2_phy_option_20_page12_2.png", "image_JEE_Main_2017_paper_2_phy_option_20_page12_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "एक समतल वैद्युतचुंबकीय तरंग में चुंबकीय क्षेत्र\n\\(\\vec{B} = B_0 \\sin (kx + \\omega t) \\hat{j} \\) T है। इसके संगत विद्युत क्षेत्र का सूत्र होगा :\nयहाँ c प्रकाश का वेग है।", "options": [ "image_JEE_Main_2017_paper_2_phy_option_21_page13.png", "image_JEE_Main_2017_paper_2_phy_option_21_page13_1.png", "image_JEE_Main_2017_paper_2_phy_option_21_page13_2.png", "image_JEE_Main_2017_paper_2_phy_option_21_page13_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "22", "question": "माना कि एक सघन माध्यम का एक विरल माध्यम के सापेक्ष अपवर्तनांक \\(n_{12}\\) है तथा उसका क्रांतिक कोण \\(\\theta_C\\) है। जब प्रकाश एक आपतन कोण A से सघन से विरल माध्यम में जाता है तो प्रकाश एक भाग परावर्तित होता है और बचा हुआ भाग अपवर्तित होता है। परावर्तित और अपवर्तित किरणों के बीच कोण 90° है। कोण A का मान होगा :", "options": [ "image_JEE_Main_2017_paper_2_phy_option_22_page13.png", "image_JEE_Main_2017_paper_2_phy_option_22_page13_1.png", "image_JEE_Main_2017_paper_2_phy_option_22_page13_2.png", "image_JEE_Main_2017_paper_2_phy_option_22_page13_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "2", "question": "निरंतर ऋणात्मक त्वरण व धनात्मक वेग से चलने वाली एक वस्तु के लिये निम्न में से कौन सा ग्राफ सही है ?", "options": [ "image_JEE_Main_2017_paper_2_phy_option_2_page2.png", "image_JEE_Main_2017_paper_2_phy_option_2_page2_1.png", "image_JEE_Main_2017_paper_2_phy_option_2_page2_2.png", "image_JEE_Main_2017_paper_2_phy_option_2_page2_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "1", "question": "यदि द्रव्यमान, लम्बाई और समय के स्थान पर समय (T), वेग (C) तथा कोणीय संवेग (h) को मूलभूत राशियाँ मान लें तो द्रव्यमान की विमा को इन राशियों के रूप में इस छवि में दिखाए गए तरीके से लिखें।", "options": [ "[M] = [T⁻¹ C⁻² h]", "[M] = [T⁻¹ C² h]", "[M] = [T⁻¹ C⁻² h⁻¹]", "[M] = [T C⁻² h]" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_1.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "16", "question": "एक अर्धचालक में इलेक्ट्रॉन तथा होल का संख्य घनत्व तथा उनकी गतिशीलताएँ क्रमशः 2.0 m^2 V^−1 s^−1 व 0.01 m^2 V^−1 s^−1 हैं। इस अर्धचालक की चालकता क्या होगी?", "options": [ "1.68 (Ω-m)^−1", "1.83 (Ω-m)^−1", "0.59 (Ω-m)^−1", "1.20 (Ω-m)^−1" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_16.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "एक 9 V की बैटरी, जिसका आंतरिक प्रतिरोध 0.5 Ω है, को निरूपित अनंत परिपथ में लगाया गया है। सभी अमीटर A1, A2, A3 तथा वोल्टमीटर V आदर्श हैं। सही कथन चुनिए:", "options": [ "A1 का पठनांक 2 A है।", "A1 का पठनांक 18 A है।", "V का पठनांक 9 V है।", "V का पठनांक 7 V है।" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_2_phy_17_page11.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "18", "question": "एक क्षेत्र में स्थिर विद्युत एवं चुंबकीय क्षेत्र उपस्थित हैं। चुंबकीय क्षेत्र B = B0 (î + 2ĵ - 4k̂) है। यदि एक परीक्षण आवेश, जिसका वेग v = v0 (3î - ĵ + 2k̂), पर कोई बल नहीं लगता है तो इस क्षेत्र में SI मात्रकों में विद्युत क्षेत्र होगा:", "options": [ "image_JEE_Main_2017_paper_2_phy_option_18_page11.png", "image_JEE_Main_2017_paper_2_phy_option_18_page11_1.png", "image_JEE_Main_2017_paper_2_phy_option_18_page11_2.png", "image_JEE_Main_2017_paper_2_phy_option_18_page11_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "27", "question": "एक डायोड का V-I अभिलक्षण वक्र को चित्र में दिखाया गया है। अग्रविभव तथा प्रतिविभव वायस में प्रतिरोध का अनुपात होगा :", "options": [ "10", "10⁻⁶", "10⁶", "100" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_phy_27_page16.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "9", "question": "स्टील की एक पतली एवं लम्बी छड़ के दोनों सिरों पर एक संपीडन बल F लगाया जाता है तथा साथ ही छड़ को गर्म करके उसका तापमान ΔT बढ़ाया जाता है। इससे छड़ की लम्बाई में कुल परिवर्तन शून्य है। मान लें कि छड़ की लम्बाई l, अनुप्रस्थ काट का क्षेत्रफल A, यंग प्रत्यास्थता गुणांक Y व रेखीय प्रसार गुणांक α है तो F का मान इस छवि में दर्शाए गए समीकरण के अनुसार होगा।", "options": [ "l² Yα ΔT", "lA Yα ΔT", "A Yα ΔT", "AY / α ΔT" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_9.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "10", "question": "चित्र में दिखाये गये एक चक्रीय प्रक्रम ABCDA के अनुसार n मोल आदर्श गैस से एक इंजन चलाया जाता है। इंजन की तापीय क्षमता होगी :", "options": [ "0.24", "0.15", "0.32", "0.08" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_phy_10_page7.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "यदि पृथ्वी की घूर्णन गति शून्य है तो एक व्यक्ति का भूमध्यरेखा पर भार W है। पृथ्वी को अपनी धुरी के चारों ओर घूर्णन की वह गति ज्ञात कीजिये जिससे कि व्यक्ति का भूमध्यरेखा पर भार इस छवि में दिखाए गए भार के बराबर होगा। पृथ्वी की त्रिज्या 6400 km और g = 10 m/s² है।", "options": [ "1.1 x 10⁻³ rad/s", "0.83 x 10⁻³ rad/s", "0.63 x 10⁻³ rad/s", "0.28 x 10⁻³ rad/s" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_phy_equation_7.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "28", "question": "1.2 MHz आवृत्ति तथा 25 V शिखर वोल्टता वाली एक वाहक तरंग को 20 kHz आवृत्ति तथा शिखर वोल्टता 5 V के संकेत से माड्यूलित किया जाता है। निम्नलिखित में से सही कथन चुनिए।", "options": [ "image_JEE_Main_2017_paper_2_phy_equation_28_choice_0.png", "image_JEE_Main_2017_paper_2_phy_equation_28_choice_1.png", "image_JEE_Main_2017_paper_2_phy_equation_28_choice_2.png", "image_JEE_Main_2017_paper_2_phy_equation_28_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "1", "question": "मान f(x) = 2^10.x + 1 तथा g(x) = 3^10.x - 1 यदि (fog)(x) = x है, तो x बराबर है :", "options": [ "image_JEE_Main_2017_paper_2_math_option_1_page1.png", "image_JEE_Main_2017_paper_2_math_option_1_page1_1.png", "image_JEE_Main_2017_paper_2_math_option_1_page1_2.png", "image_JEE_Main_2017_paper_2_math_option_1_page1_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "2", "question": "मान p(x) ऐसा एक द्विघात बहुपद है जिसके लिये p(0) = 1 है। यदि p(x) को x - 1 से भाग देने पर 4 शेष रहता है तथा x + 1 से भाग देने पर 6 शेष बचता है, तो :", "options": [ "image_JEE_Main_2017_paper_2_math_equation_2_choice_0.png", "image_JEE_Main_2017_paper_2_math_equation_2_choice_1.png", "image_JEE_Main_2017_paper_2_math_equation_2_choice_2.png", "image_JEE_Main_2017_paper_2_math_equation_2_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "29", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान है जब \\( |x| < \\frac{1}{2}, x \\neq 0 \\) :", "options": [ "\\( \\frac{\\pi}{4} + \\frac{1}{2} \\cos^{-1} x^2 \\)", "\\( \\frac{\\pi}{4} + \\cos^{-1} x^2 \\)", "\\( \\frac{\\pi}{4} - \\frac{1}{2} \\cos^{-1} x^2 \\)", "\\( \\frac{\\pi}{4} - \\cos^{-1} x^2 \\)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_29.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "16", "question": "कर्व x² + y² = 4 तथा y² = 3x के बीच घिरे छोटे भाग का क्षेत्रफल (वर्ग इकाइयों में) है :", "options": [ "image_JEE_Main_2017_paper_2_math_option_16_page7.png", "image_JEE_Main_2017_paper_2_math_option_16_page7_1.png", "image_JEE_Main_2017_paper_2_math_option_16_page7_2.png", "image_JEE_Main_2017_paper_2_math_option_16_page7_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "14", "question": "∫√1 + 2cot x(cosec x + cot x) dx (0 < x < π/2) बराबर है : (जहाँ C एक समाकलन अचर है)", "options": [ "image_JEE_Main_2017_paper_2_math_option_14_page6.png", "image_JEE_Main_2017_paper_2_math_option_14_page6_1.png", "image_JEE_Main_2017_paper_2_math_option_14_page6_2.png", "image_JEE_Main_2017_paper_2_math_option_14_page6_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "15", "question": "इस छवि में दिखाए गए अभिव्यक्ति का मान क्या है?", "options": [ "15/128", "15/64", "13/32", "13/256" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_15.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "20", "question": "यदि परवलय इस छवि में दिखाए गए समीकरण तथा वृत्त x² + y² = 4 की उपर्युक्त स्पर्शरेखाएँ एक बिंदु P पर प्रतिच्छेद करती हैं, तो P की मूल बिंदु से दूरी है :", "options": [ "√2 + 1", "2(3 + 2√2)", "2(√2 + 1)", "3 + 2√2" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_20.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "21", "question": "एक दीर्घवृत्त, जिसका केंद्र मूल बिंदु पर है तथा दीर्घ अक्ष x-अक्ष की दिशा में है, पर विचार कीजिए। यदि इसकी उत्केन्द्रता इस छवि में दिखाए गए मान के बराबर है तथा नाभियों के बीच की दूरी 6 है, तो उस चतुर्भुज, जो दीर्घवृत्त के अंतर्गत बनाई गई है तथा जिसके शीर्ष, दीर्घवृत्त के शीर्षों पर हैं, का क्षेत्रफल (वर्ग इकाइयों में) है :", "options": [ "8", "32", "80", "40" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_21.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "12", "question": "यदि \\( y = [x + \\sqrt{x^2 - 1}]^{15} + [x - \\sqrt{x^2 - 1}]^{15} \\) है, तो इस छवि में दिखाए गए अभिव्यक्ति के बराबर है :", "options": [ "125 y", "224 y²", "225 y²", "225 y" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "13", "question": "यदि किसी बिंदु P के निर्देशांक (0, -2) हैं तथा कोई बिंदु Q इस छवि में दिखाए गए वृत्त पर स्थित है, तो (PQ)² का अधिकतम मान है :", "options": [ "(25 + √6)/2", "14 + 5√3", "(47 + 10√6)/2", "8 + 5√3" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_2_math_equation_13.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "9", "question": "यदि छवि में दिखाए गए श्रेणी के प्रथम n पदों का योग 435√3 है, तो n बराबर है :", "options": [ "18", "15", "13", "29" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_9.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "10", "question": "इस छवि में दिखाए गए सीमा का मान क्या है?", "options": [ "√3", "1/√2", "√3/2", "1/2√2" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_10.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "11", "question": "वक्र इस छवि में दिखाए गए के बिंदु (2,−2) पर खींची गई स्पर्शरेखा निम्न में से किस बिंदु से नहीं गुजरती है :", "options": [ "(4, 1/3)", "(8, 5)", "(−4, −9)", "(−2, −7)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_11.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "18", "question": "रेखाओं इस छवि में दिखाए गए के प्रतिच्छेदन बिंदु का बिंदु पथ है :", "options": [ "एक दीर्घवृत्त जिसकी उत्केन्द्रता \\( \\frac{2}{\\sqrt{5}} \\) है", "एक दीर्घवृत्त जिसके दीर्घ अक्ष की लंबाई 6 है", "एक अतिपरवलय जिसकी उत्केन्द्रता \\( \\sqrt{5} \\) है", "एक अतिपरवलय जिसके संयुग्म अक्ष (conjugate axis) की लंबाई 3 है" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_18.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "19", "question": "यदि एक वृत्त जिसका व्यास 4 इकाई है की दो समानांतर जीवाएँ, जो वृत्त के केंद्र की विपरीत दिशाओं में हैं तथा केंद्र पर क्रमशः इस छवि में दिखाए गए कोण अंतरित करती हैं, तो इन जीवाओं के बीच की दूरी है :", "options": [ "\\( \\frac{4}{\\sqrt{7}} \\)", "\\( \\frac{8}{\\sqrt{7}} \\)", "\\( \\frac{8}{7} \\)", "\\( \\frac{16}{7} \\)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_19.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "22", "question": "समतल, जिसमें दोनों रेखाएं इस छवि में दिखाई गई हैं तथा \\(\\frac{x - 1}{3} = \\frac{y - 2}{5} = \\frac{z - 3}{7}\\) हैं, पर बिंदु (1, -2, 1) से डाले गए लम्ब के पाद के निर्देशांक हैं :", "options": [ "(2, -4, 2)", "(-1, 2, -1)", "(0, 0, 0)", "(1, 1, 1)" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_2_math_equation_22.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "23", "question": "समतल \\[ \\vec{r} \\cdot (3\\hat{i} - \\hat{j} + \\hat{k}) = 1 \\] तथा \\[ \\vec{r} \\cdot (\\hat{i} + 4\\hat{j} - 2\\hat{k}) = 2 \\] की प्रतिच्छेदी रेखा है :", "options": [ "image_JEE_Main_2017_paper_2_math_option_23_page10.png", "image_JEE_Main_2017_paper_2_math_option_23_page10_1.png", "image_JEE_Main_2017_paper_2_math_option_23_page10_2.png", "image_JEE_Main_2017_paper_2_math_option_23_page10_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "3", "question": "मान लीजिए z ∈ C, जो सम्मिश्र संख्याओं का समूह है, तो इस छवि में प्रदर्शित समीकरण प्रदर्शित करता है :", "options": [ "एक वृत्त जिसका त्रिज्या \\(\\frac{8}{3}\\) है।", "एक वृत्त जिसका व्यास \\(\\frac{10}{3}\\) है।", "एक दीर्घवृत्त जिसके दीर्घ अक्ष की लंबाई \\(\\frac{16}{3}\\) है।", "एक दीर्घवृत्त जिसके लघु अक्ष की लंबाई \\(\\frac{16}{9}\\) है।" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_2_math_equation_3.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-8th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Maths-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "5", "question": "मान लीजिए A कोई 3 × 3 का व्युत्क्रमणीय आव्यूह है तो निम्न में से कौन-सा सत्य नहीं है ?", "options": [ "image_JEE_Main_2017_paper_2_math_equation_5_choice_0.png", "image_JEE_Main_2017_paper_2_math_equation_5_choice_1.png", "image_JEE_Main_2017_paper_2_math_equation_5_choice_2.png", "image_JEE_Main_2017_paper_2_math_equation_5_choice_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "1", "question": "फलन f : N → N, इस छवि में दिखाए गए द्वारा परिभाषित है, जहाँ N, प्राकृतिक संख्याओं का समुच्चय है तथा ⌊x⌋, x से कम या उसके समान महत्तम पूर्णांक है, जो :", "options": [ "एकेकता तथा आक्रिय है।", "एकेकता है परन्तु आक्रिय नहीं है।", "आक्रिय है परन्तु एकेकता नहीं है।", "न तो एकेकता है और न ही आक्रिय है।" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_math_equation_1.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "2", "question": "इस छवि में दिखाए गए समीकरण को संतुष्ट करने वाले \\( x \\) के सभी वास्तविक मानों का योग है :", "options": [ "16", "14", "-4", "-5" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_math_equation_2.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "3", "question": "समीकरण इस छवि में दिखाए गए भाग को निरूपित करती है, z ∈ C, z ≠ i उस वृत्त के एक भाग को निरूपित करती है, जिसकी त्रिज्या है :", "options": [ "2", "1", "3/4", "1/2" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_math_equation_3.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "28", "question": "इस छवि में दिखाए गए समीकरण को संतुष्ट करने वाला x का एक मान है :", "options": [ "- 1/2", "-1", "0", "1/2" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_28.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "15", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार, तो \\( k \\) बराबर है :", "options": [ "1", "2", "3", "4" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_15.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "16", "question": "किसी धनात्मक वास्तविक संख्या \\( a \\) के लिए यदि इस छवि में दिखाए गए समीकरण के बराबर \\( \\frac{1}{60} \\) है, तो \\( a \\) बराबर है :", "options": [ "7", "8", "15 / 2", "17 / 2" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_math_equation_16.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "30", "question": "यदि दो संख्याएँ समान नहीं हैं, तो उनके वर्ग समान नहीं हैं।", "options": [ "image_JEE_Main_2017_paper_3_math_equation_30_choice_0.png", "image_JEE_Main_2017_paper_3_math_equation_30_choice_1.png", "image_JEE_Main_2017_paper_3_math_equation_30_choice_2.png", "image_JEE_Main_2017_paper_3_math_equation_30_choice_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "22", "question": "एक चर समतल, जिसका मूल बिंदु से दूरी 3 इकाई है, निर्देशांक अक्षों को A, B तथा C पर काटता है, तो ΔABC के केंद्रक का बिंदुपथ है :", "options": [ "image_JEE_Main_2017_paper_3_math_option_22_page9.png", "image_JEE_Main_2017_paper_3_math_option_22_page9_1.png", "image_JEE_Main_2017_paper_3_math_option_22_page9_2.png", "image_JEE_Main_2017_paper_3_math_option_22_page9_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "23", "question": "यदि रेखा, इस छवि में दिखाए गए समीकरण के अनुसार, समतल \\(2x-4y+3z=2\\) में स्थित है, तो इस रेखा तथा रेखा \\(\\frac{x-1}{12} = \\frac{y}{9} = \\frac{z}{4}\\) के बीच की न्यूनतम दूरी है :", "options": [ "2", "1", "0", "3" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_23.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "24", "question": "यदि सदिश b = 3j + 4k को सदिश a = i + j के समांतर सदिश b1 तथा सदिश a के लंबवत सदिश b2 के योग के रूप में लिखा जाए, तो b1 × b2 बराबर है :", "options": [ "image_JEE_Main_2017_paper_3_math_option_24_page10.png", "image_JEE_Main_2017_paper_3_math_option_24_page10_1.png", "image_JEE_Main_2017_paper_3_math_option_24_page10_2.png", "image_JEE_Main_2017_paper_3_math_option_24_page10_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "12", "question": "इस छवि में दिखाए गए द्वारा परिभाषित फलन f :", "options": [ "R में वर्धमान है।", "R में क्षीणमान है।", "(0, ∞) में क्षीणमान तथा (− ∞, 0) में वर्धमान है।", "(0, ∞) में वर्धमान तथा (− ∞, 0) में क्षीणमान है।" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_math_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "13", "question": "मान लीजिए एक बहुपद फलन f ऐसा है कि सभी x ∈ R के लिए f(3x) = f'(x) ⋅ f''(x) है, तो :", "options": [ "image_JEE_Main_2017_paper_3_math_equation_13_choice_0.png", "image_JEE_Main_2017_paper_3_math_equation_13_choice_1.png", "image_JEE_Main_2017_paper_3_math_equation_13_choice_2.png", "image_JEE_Main_2017_paper_3_math_equation_13_choice_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "14", "question": "यदि इस छवि में दिखाए गए समीकरण के अनुसार ∫f(x) dx = A log|1 - x| + Bx + C है, तो क्रमित युग्म (A, B) बराबर है :", "options": [ "(8/3, 2/3)", "(-8/3, 2/3)", "(-8/3, -2/3)", "(8/3, -2/3)" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_math_equation_14.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "10", "question": "k का वह मान जिसके लिए छवि में दिखाए गए फलन x = π/2 पर सतत है, है :", "options": [ "17/20", "2/5", "3/5", "-2/5" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_math_equation_10.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "11", "question": "यदि 2x = y^(1/5) + y^(-1/5) तथा इस छवि में दिखाए गए समीकरण के अनुसार, λ + k बराबर है :", "options": [ "-23", "-24", "26", "-26" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_11.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "26", "question": "माना E तथा F दो स्वतंत्र घटनाएँ हैं। E तथा F दोनों के घटने की प्रायिकता \\(\\frac{1}{12}\\) है तथा न E और न ही F के घटने की प्रायिकता \\(\\frac{1}{2}\\) है, तो इस छवि में दिखाए गए अनुपात का एक मान है :", "options": [ "\\(\\frac{4}{3}\\)", "\\(\\frac{3}{2}\\)", "\\(\\frac{1}{3}\\)", "\\(\\frac{5}{12}\\)" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_math_equation_26.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "19", "question": "यदि बिंदु P(4, 7) से खींची गई एक रेखा, इस छवि में दिखाए गए वृत्त को बिंदुओं A तथा B पर काटती है, तो PA·PB बराबर है :", "options": [ "53", "56", "74", "65" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_19.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "21", "question": "यदि y = mx + c परवलय इस छवि में दिखाए गए समीकरण के उस बिंदु पर अभिलंब है जिसकी नाभि से दूरी 8 इकाई है, तो |c| बराबर है :", "options": [ "2√3", "8√3", "10√3", "16√3" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_math_equation_21.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "7", "question": "जहाँ x ≠ 0, 1, के द्विपद विस्तार में इस छवि में दिखाए गए पद का गुणांक है :", "options": [ "1", "4", "-4", "-1" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_math_equation_7.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "9", "question": "माना इस छवि में दिखाए गए \\( S_n \\) के लिए, यदि \\( 100 S_n = n \\) है, तो \\( n \\) बराबर है :", "options": [ "199", "99", "200", "19" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_math_equation_9.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "4", "question": "दो 3 × 3 आव्यूह A तथा B के लिए माना छवि में दिखाए गए समीकरण सत्य है, जहाँ B' आव्यूह B का पारिवर्त है तथा I₃ एक 3 × 3 तात्त्विक आव्यूह है, तो :", "options": [ "image_JEE_Main_2017_paper_3_math_equation_4_choice_0.png", "image_JEE_Main_2017_paper_3_math_equation_4_choice_1.png", "image_JEE_Main_2017_paper_3_math_equation_4_choice_2.png", "image_JEE_Main_2017_paper_3_math_equation_4_choice_3.png" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_math_equation_4.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Mathematics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Physics-,JEE%20Main%202017%20Paper%20Maths,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "maths", "category_original_lang": "गणित", "original_question_num": "5", "question": "यदि \\( x = a, y = b, z = c \\) रैखिक समीकरण निकाय छवि में दिखाए गए समीकरणों का एक ऐसा हल है कि बिंदु \\((a, b, c)\\) समतल \\( x + 2y + z = 6 \\) पर स्थित है, तो \\( 2a + b + c \\) बराबर है :", "options": [ "−1", "0", "1", "2" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_math_equation_5.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "27", "question": "निम्न यौगिकों के क्वथनांक का बढ़ता हुआ क्रम है :", "options": [ "(III) < (IV) < (II) < (I)", "(IV) < (III) < (I) < (II)", "(II) < (III) < (IV) < (I)", "(III) < (II) < (I) < (IV)" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_chem_27_page12.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "28", "question": "निम्न यौगिकों में से किसका द्विध्रुव आघूर्ण सर्वाधिक होगा ?", "options": [ "(I)", "(II)", "(III)", "(IV)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_chem_28_page12.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "29", "question": "निम्न अभिक्रिया क्रम में :", "options": [ "image_JEE_Main_2017_paper_3_chem_option_29_page13.png", "image_JEE_Main_2017_paper_3_chem_option_29_page13_1.png", "image_JEE_Main_2017_paper_3_chem_option_29_page13_2.png", "image_JEE_Main_2017_paper_3_chem_option_29_page13_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_chem_29_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "30", "question": "निम्न यौगिकों के क्षारीय सामर्थ्य का बढ़ता हुआ क्रम है :", "options": [ "(I) < (II) < (IV) < (III)", "(I) < (II) < (III) < (IV)", "(II) < (I) < (IV) < (III)", "(II) < (I) < (III) < (IV)" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_chem_30_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "22", "question": "निम्न में से कौन सा यौगिक, सोडियम कार्बोनेट के जलीय विलयन के प्रति, सर्वाधिक अभिक्रियाशील है?", "options": [ "image_JEE_Main_2017_paper_3_chem_option_22_page9.png", "image_JEE_Main_2017_paper_3_chem_option_22_page9_1.png", "image_JEE_Main_2017_paper_3_chem_option_22_page9_2.png", "image_JEE_Main_2017_paper_3_chem_option_22_page9_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "23", "question": "निम्न संरचना में, द्वि बंधों को I, II, III तथा IV से चिह्नित किया गया है। ज्यामितीय समावयवता इस स्थान/इन स्थानों में संभव नहीं है :", "options": [ "III", "I", "I तथा III", "III तथा IV" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_chem_23_page9.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "10", "question": "8.5 g CH₂Cl₂ तथा 11.95 g CHCl₃ को मिलाकर एक विलयन तैयार किया जाता है। यदि 298 K पर CH₂Cl₂ तथा CHCl₃ के वाष्प दाब क्रमशः 415 तथा 200 mmHg हैं तो इस छवि में दिखाए गए समीकरण के अनुसार वाष्प रूप में उपस्थित CHCl₃ का मोल अंश है : \n(CI का मोलर द्रव्यमान = 35.5 g mol⁻¹)", "options": [ "0.162", "0.675", "0.325", "0.486" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_chem_equation_10.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "21", "question": "एक यौगिक जिसका आणविक सूत्र C8H8O2 है, एसीटोफेनोन से एक क्षारक की उपस्थिति में अभिक्रिया करके एक ही क्रॉस-एल्डोल उत्पाद बनाता है। वही यौगिक सांद्र NaOH के साथ अभिक्रिया करके बेंजिल एल्कोहोल, जो बननेवाले उत्पादों में से एक है, बनाता है। यौगिक की संरचना है :", "options": [ "image_JEE_Main_2017_paper_3_chem_option_21_page8.png", "image_JEE_Main_2017_paper_3_chem_option_21_page8_1.png", "image_JEE_Main_2017_paper_3_chem_option_21_page8_2.png", "image_JEE_Main_2017_paper_3_chem_option_21_page8_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "19", "question": "H₂SO₃, H₂SO₄ तथा H₂S₂O₇ की संरचना में π-आबंधों की घटती संख्या का सही क्रम है :", "options": [ "image_JEE_Main_2017_paper_3_chem_equation_19_choice_0.png", "image_JEE_Main_2017_paper_3_chem_equation_19_choice_1.png", "image_JEE_Main_2017_paper_3_chem_equation_19_choice_2.png", "image_JEE_Main_2017_paper_3_chem_equation_19_choice_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "20", "question": "इस छवि में दिखाए गए अभिव्यक्ति का अर्थ क्या है?", "options": [ "एक Co-Co आबन्ध, छह टर्मिनल CO तथा दो सेतुबंध CO", "एक Co-Co आबन्ध, चार टर्मिनल CO तथा चार सेतुबंध CO", "Co-Co आबन्ध नहीं, छह टर्मिनल CO तथा दो सेतुबंध CO", "Co-Co आबन्ध नहीं, चार टर्मिनल CO तथा चार सेतुबंध CO" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_chem_equation_20.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "17", "question": "पायराफॉस्फोरिक अम्ल (इस छवि में दिखाए गए) में P−OH आवंधों की संख्या तथा फॉस्फोरस परमाणु की ऑक्सीकरण अवस्था क्रमशः हैं :", "options": [ "चार तथा चार", "पाँच तथा चार", "पाँच तथा पाँच", "चार तथा पाँच" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_chem_equation_17.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "24", "question": "निम्न अभिक्रिया का मुख्य उत्पाद है :", "options": [ "image_JEE_Main_2017_paper_3_chem_option_24_page10.png", "image_JEE_Main_2017_paper_3_chem_option_24_page10_1.png", "image_JEE_Main_2017_paper_3_chem_option_24_page10_2.png", "image_JEE_Main_2017_paper_3_chem_option_24_page10_3.png" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_chem_24_page10.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Chemistry-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=of%20April%202017-,JEE%20Main%202017%20Paper%20Chemistry,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "chemistry", "category_original_lang": "रसायन विज्ञान", "original_question_num": "26", "question": "निम्न में से कौन सा जैवविघटननीय बहुलक है ?", "options": [ "image_JEE_Main_2017_paper_3_chem_option_26_page11.png", "image_JEE_Main_2017_paper_3_chem_option_26_page11_1.png", "image_JEE_Main_2017_paper_3_chem_option_26_page11_2.png", "image_JEE_Main_2017_paper_3_chem_option_26_page11_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "12", "question": "0.1 kg द्रव्यमान के एक गुटके को एक प्रत्यास्थ स्प्रिंग, जिसका स्प्रिंग नियतांक इस छवि में दिखाया गया है, से जोड़ा गया है। यह गुटका एक अपवमित माध्यम, जिसका अपवमित गुणांक \\(10^{-2}\\) kg s\\(^{-1}\\) है, में दोलन गति करता है। यह निकाय धीरे-धीरे अपनी ऊर्जा अपवमित करता है। निकाय के दोलन की यांत्रिक ऊर्जा को उसके आरंभिक मान से आधा होने में लगने वाले समय का निकटतम मान होगा :", "options": [ "2 s", "3.5 s", "5 s", "7 s" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_12.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "15", "question": "समांतर प्लेट संधारित्रों के एक संयोजन को एक निश्चित विभवान्तर पर रखा गया है। (चित्र देखें)\nजब 3 mm मोटे गुटके को सभी संधारित्रों की प्लेटों के बीच डाला जाता है, तो वही विभवान्तर बनाए रखने के लिए प्लेटों के बीच की दूरी को 2.4 mm से बढ़ाना पड़ता है। गुटके का परावैद्युतांक होगा:", "options": [ "3", "4", "5", "6" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_phy_15_page12.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "6", "question": "द्रव्यमान M तथा त्रिज्या R वाले एकसमान डिस्क में एक \\(\\frac{R}{4}\\) त्रिज्या का गोलाकार छेद, चित्रानुसार, किया गया है। बिंदु O से जाने वाले तथा डिस्क के समतल के लम्बवत् अक्ष के सापेक्ष, डिस्क के बचे हुए भाग का, जड़त्व आघूर्ण होगा :", "options": [ "image_JEE_Main_2017_paper_3_phy_option_6_page5.png", "image_JEE_Main_2017_paper_3_phy_option_6_page5_1.png", "image_JEE_Main_2017_paper_3_phy_option_6_page5_2.png", "image_JEE_Main_2017_paper_3_phy_option_6_page5_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_phy_6_page5.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "5", "question": "एक शंकुल (conical) दोलन, जिसकी लम्बाई 1 m है और जो Z-अक्ष से θ = 45° के कोण पर है, XY समतल में एक गोलाकार पथ में चलता है। गोलाकार पथ की त्रिज्या 0.4 m है और उसका केन्द्र बिन्दु O के ठीक नीचे है। उस दोलन की गति गोलाकार पथ में होगी : (g = 10 ms⁻²)", "options": [ "0.4 m/s", "4 m/s", "0.2 m/s", "2 m/s" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_phy_5_page4.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "17", "question": "दिये गये चित्र में तीन परिपथ, I, II एवं III को एक 3V बैटरी से जोड़ा गया है। यदि विन्यास I, II तथा III क्रमशः P1, P2 तथा P3 शक्ति अपव्यय करते हैं तो :", "options": [ "P1 > P2 > P3", "P1 > P3 > P2", "P2 > P1 > P3", "P3 > P2 > P1" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_phy_17_page13.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "10", "question": "एक आदर्श गैस का P-V आलेख दिये गये चित्र में दर्शाया गया है। दिये गये आलेखों में से कौन-सा सही T-P आलेख दर्शायेगा?", "options": [ "image_JEE_Main_2017_paper_3_phy_option_10_page8.png", "image_JEE_Main_2017_paper_3_phy_option_10_page8_1.png", "image_JEE_Main_2017_paper_3_phy_option_10_page8_2.png", "image_JEE_Main_2017_paper_3_phy_option_10_page8_3.png" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_phy_10_page8.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "4", "question": "चित्र में दिखाई गयी एक मशीन की दो छड़ें, जिनकी लम्बाई 1 m है, के ऊपरी सिरों को एक साथ धुरीस्थ किया गया है। एक छड़ का अंतिम सिरा एक स्थिर धुरी द्वारा फर्श को जोड़ा गया है जबकि दूसरी छड़ के अंतिम सिर पर एक रोलर लगाया है जो कि फर्श पर बने खांचे में चल सकता है। जब वह रोलर आगे पीछे चलता है तो एक 2 kg का भार ऊपर नीचे चलता है। यदि रोलर दाहिनी दिशा में एक समान चाल से चलता है तो वह भार चलेगा, एक :", "options": [ "समान चाल से", "घटती हुई चाल से", "बढ़ती हुई चाल से", "चाल जो कि रोलर की चाल का 3/4 है जब वह भार फर्श से 0.4 m की ऊँचाई पर है" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_phy_4_page3.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "28", "question": "तरंगदैर्ध्य λ की तरंग द्वारा एक संदेश को एक ऐकरेखीय एंटीना से प्रसारित करना है। एंटीना की लम्बाई l तथा प्रभावी उत्सर्जित शक्ति Peff का क्रमशः मान होगा : (K समानुपाती स्थिरांक (constant of proportionality) है)", "options": [ "image_JEE_Main_2017_paper_3_phy_option_28_page18.png", "image_JEE_Main_2017_paper_3_phy_option_28_page18_1.png", "image_JEE_Main_2017_paper_3_phy_option_28_page18_2.png", "image_JEE_Main_2017_paper_3_phy_option_28_page18_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "19", "question": "0.3 T का एक समान चुंबकीय क्षेत्र B धनात्मक Z-अक्ष की तरफ निर्देशित है। एक 10 cm तथा 5 cm भुजाओं वाला आयताकार लूप (abcd) में 12 A धारा I बहती है। निम्न में से कौन-सा अभिविन्यास स्थिर साम्यावस्था को प्रदर्शित करता है?", "options": [ "image_JEE_Main_2017_paper_3_phy_option_19_page14.png", "image_JEE_Main_2017_paper_3_phy_option_19_page14_1.png", "image_JEE_Main_2017_paper_3_phy_option_19_page14_2.png", "image_JEE_Main_2017_paper_3_phy_option_19_page14_3.png" ], "answer": 3, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "20", "question": "283 V शिखर विभव तथा 320 s⁻¹ कोणीय आवृत्ति वाले एक जटिलतरंग विभव को एक श्रेणी LCR परिपथ में लगाया गया है। दिया है R = 5 Ω, L = 25 mH और C = 1000 μF। परिपथ की कुल प्रतिबाधा तथा स्रोत विभव एवं धारा के बीच कलांतर क्रमशः होगा :", "options": [ "image_JEE_Main_2017_paper_3_phy_option_20_page15.png", "image_JEE_Main_2017_paper_3_phy_option_20_page15_1.png", "image_JEE_Main_2017_paper_3_phy_option_20_page15_2.png", "image_JEE_Main_2017_paper_3_phy_option_20_page15_3.png" ], "answer": 1, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "21", "question": "किसी एकरंगी विकिरण के वैद्युत क्षेत्र घटक को निम्न प्रकार से व्यक्त किया जा सकता है E = 2 E₀ cos kz cos ωt उसके चुंबकीय क्षेत्र B का मान होगा :", "options": [ "image_JEE_Main_2017_paper_3_phy_option_21_page15.png", "image_JEE_Main_2017_paper_3_phy_option_21_page15_1.png", "image_JEE_Main_2017_paper_3_phy_option_21_page15_2.png", "image_JEE_Main_2017_paper_3_phy_option_21_page15_3.png" ], "answer": 2, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "29", "question": "किसी मीटर सेतु प्रयोग के दौरान, प्रतिरोधों को चित्रानुसार जोड़ा गया है। शुरू में प्रतिरोध P = 4 Ω तथा नल बिंदु N, बिंदु A से, 60 cm की दूरी पर है। एक अज्ञात प्रतिरोध R को P के साथ श्रेणी क्रम में जोड़ा जाता है जिससे नल बिंदु की नई स्थिति बिंदु A से 80 cm दूर हो जाती है। अज्ञात प्रतिरोध R का मान होगा:", "options": [ "\\( \\frac{33}{5} \\) Ω", "6 Ω", "7 Ω", "\\( \\frac{20}{3} \\) Ω" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_phy_29_page19.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "3", "question": "समान द्रव्यमान M के दो कण A तथा B समान चाल v से चित्रानुसार चल रहे हैं। वह पूर्णतः अपलायस संधार करते हैं तथा संधार के बाद एक कण C की तरह चलते हैं। कोण θ, जो कण C का पथ X-अक्ष से बनाता है, को निम्न सम्बन्ध से दिया जायेगा :", "options": [ "image_JEE_Main_2017_paper_3_phy_option_3_page2.png", "image_JEE_Main_2017_paper_3_phy_option_3_page2_1.png", "image_JEE_Main_2017_paper_3_phy_option_3_page2_2.png", "image_JEE_Main_2017_paper_3_phy_option_3_page2_3.png" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_phy_3_page2.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "1", "question": "एक भौतिक राशि P निम्न संबंध द्वारा परिभाषित की जाती है। यदि a, b, c और d के मापन में सापेक्ष त्रुटि क्रमशः 2%, 1%, 3% और 5% हो तो इस छवि में दिखाए गए संबंध के अनुसार P में सापेक्ष त्रुटि होगी :", "options": [ "8%", "12%", "32%", "25%" ], "answer": 0, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_1.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "23", "question": "0.1 mm चौड़ाई की एक फांक छवि में दिखाए गए तरंगदैर्घ्य के समान्तर किरण पुंज से प्रकाशित की जाती है और विवर्तन बैंड का चित्र 0.5 m दूर स्क्रीन पर देखा जाता है। तृतीय अंधकार बैंड की केन्द्रिय दीप्त बैंड से दूरी होगी :", "options": [ "3 mm", "9 mm", "4.5 mm", "1.5 mm" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_23.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "24", "question": "660 nm तरंगदैर्घ्य की एक लेजर लाइट को रेटिना विच्छेदन को जोड़ने के लिए प्रयोग किया जाता है। यदि 60 ms चौड़ाई एवं 0.5 kW शक्ति के लेजर स्पन्द (pulse) का प्रयोग किया जाये तो उस स्पन्द में फोटॉनों की संख्या लगभग होगी : [प्लांक नियतांक h = 6.62 x 10⁻³⁴ Js] (छवि में दिखाए गए सूत्र का उपयोग करें)", "options": [ "10²⁰", "10¹⁸", "10²²", "10¹⁹" ], "answer": 3, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_24.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "25", "question": "हाइड्रोजन परमाणु की प्रथम कक्षा (n = 1) के इलेक्ट्रॉन का त्वरण होगा :", "options": [ "image_JEE_Main_2017_paper_3_phy_option_25_page17.png", "image_JEE_Main_2017_paper_3_phy_option_25_page17_1.png", "image_JEE_Main_2017_paper_3_phy_option_25_page17_2.png", "image_JEE_Main_2017_paper_3_phy_option_25_page17_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "13", "question": "दो तरंगें, जो विपरीत दिशा में चल रही हैं, के अध्यारोपण से एक अप्रगामी तरंग बनती है जिसका अनुप्रस्थ विस्थापन इस छवि में दिखाए गए समीकरण द्वारा लिखा जा सकता है। +x अक्ष की तरफ चलने वाली प्रगामी तरंग की गति होगी: (यहाँ x व t क्रमशः मीटर व सेकंड में हैं।)", "options": [ "160 m/s", "90 m/s", "180 m/s", "120 m/s" ], "answer": 1, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_13.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "9", "question": "दो नलिकाएँ जिनकी त्रिज्याएँ क्रमशः इस छवि में दिखाए गए तथा लम्बाइयाँ, l₁ व l₂ हैं, को श्रेणी क्रम में जोड़ा गया है और उनमें एक द्रव द्वारा रेखीय प्रवाह में बहता है। पहली तथा दूसरी नली के सिरों के बीच के दाबान्तर क्रमशः P₁ तथा P₂ हैं। यदि P₂ का मान 4P₁ तथा l₂ का मान l₁/4 हो तो त्रिज्या r₂ का मान होगा :", "options": [ "r₁", "2r₁", "4r₁", "r₁/2" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_phy_equation_9.png", "image_information": "essential", "image_type": "scientific formula", "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "7", "question": "एक गोलाकार पिंड का द्रव्यमान घनत्व है\nρ (r) = k/r जब r ≤ R तथा\nρ (r) = 0 जब r > R, जहाँ r केन्द्र से दूरी है।\nनिम्न में से कौन सा ग्राफ एक परीक्षण कण के त्वरण a को r के फलन में गुणात्मक रूप से दर्शाता है ?", "options": [ "image_JEE_Main_2017_paper_3_phy_option_7_page6.png", "image_JEE_Main_2017_paper_3_phy_option_7_page6_1.png", "image_JEE_Main_2017_paper_3_phy_option_7_page6_2.png", "image_JEE_Main_2017_paper_3_phy_option_7_page6_3.png" ], "answer": 0, "image_png": null, "image_information": null, "image_type": null, "parallel_question_id": null }, { "language": "hi", "country": "India", "file_name": "Physics-9th-April", "source": "https://byjus.com/jee/jee-main-2017-question-paper/#:~:text=2017%20Paper%20Chemistry-,JEE%20Main%202017%20Paper%20Physics,-JEE%20Main%202017", "license": "unknown", "level": "University Entrance", "category_en": "physics", "category_original_lang": "भौतिकी", "original_question_num": "14", "question": "चार बंद पृष्ठ तथा उनके आवेश विन्यास को निम्न चित्र में दर्शाया गया है। यदि उनके पृष्ठ से बढ़ते विद्युत फ्लक्स क्रमशः Φ₁, Φ₂, Φ₃ तथा Φ₄ हों तो:", "options": [ "Φ₁ < Φ₂ = Φ₃ > Φ₄", "Φ₁ > Φ₂ > Φ₃ > Φ₄", "Φ₁ = Φ₂ = Φ₃ = Φ₄", "Φ₁ > Φ₃ ; Φ₂ < Φ₄" ], "answer": 2, "image_png": "image_JEE_Main_2017_paper_3_phy_14_page11.png", "image_information": "essential", "image_type": "diagram", "parallel_question_id": null } ]