Meters
In physics, the wavelength of a sinusoidal wave is the spatial period of the wave—the distance over which the wave's shape repeats, and the inverse of the spatial frequency. Assuming a sinusoidal wave moving at a fixed wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths. Wavelength depends on the medium (for example, vacuum, air, or water) that a wave travels through. A calculation similar to that in part (a) shows that the de Broglie wavelength of the baseball is. This wavelength is incredibly small, even by comparison with the size of an atom (10 −10 m) or a nucleus (10 −14 m). Using this expression in Equation 29.8 for the de Broglie wavelength, we obtain A de Broglie wavelength of is about the size of the interatomic spacing in a solid, such as the nickel crystal used by Davisson and Germer, and, therefore, leads to the observed diffraction effects. De Broglie made the explicit proposal that the wavelength of a particle is given by the same relation (Equation 29.6) that applies to a photon: where h is Planck s constant and p is the magnitude of the relativistic momentum of the particle. Today, is known as the de Broglie wavelength of the particle. Using this expression in Equation 29.8 for the de Broglie wavelength, we obtain A de Broglie wavelength of is about the size of the interatomic spacing in a solid, such as the nickel crystal used by Davisson and Germer, and, therefore, leads to the observed diffraction effects. This Site Might Help You. RE: Units in de Broglie wavelenght equation? lambda = h/p h = j*s p = m*v = kg*m/s so in the end i have units = (J*s^2)/(kg*m) of course lambda is in meters.... how does this happen?  Determine the de Broglie wavelength for (a) an electron () moving at a speed of and (b) a baseball () moving at a speed of 13 m/s. Reasoning In each case, the de Broglie wavelength is given by Equation 29.8 as Planck s constant divided by the magnitude of the momentum. Using this expression in Equation 29.8 for the de Broglie wavelength, we obtain A de Broglie wavelength of is about the size of the interatomic spacing in a solid, such as the nickel crystal used by Davisson and Germer, and, therefore, leads to the observed diffraction effects. Please try again later. What is the de Broglie wavelength (m) of a small car with a mass of 1150 kg traveling at a speed of 55.0 mi/h (24.6 m/s)? 1  Education. 2  Standard YouTube License.  Solution: 1) Use the de Broglie equation to determine the energy (not momentum) of the atom [note the appearence of the mass (in kg) of a He atom]: λ = h/p. λ = h/√(2Em). 4.30 x 10¯ 12 m = 6.626 x 10¯ 34 J s / √[(2) (x) (6.646632348 x 10¯ 27 kg)]. I dropped the units. The unit on velocity is meters per second, most usually written m s¯ 1 (it can also be written m/s). One possible point of confusion: The unit m means meters, the symbol m means mass. You have to keep the two separate. The unit on KE is kg m 2 s¯ 2. De Broglie wavelength is a wavelength, which is manifested in all the particles in quantum mechanics, according to wave-particle duality, and it determines the probability density of finding the object at a given point of the configuration space. In 1924 a French physicist Louis de Broglie assumed that for particles the same relations are valid as for the photon: where and are the energy and momentum of the photon, and are the frequency and wavelength of the photon, is the Planck constant, is the speed of light. De Broglie's equation. Wavelength of a particle: λ = h/mv. Example problems. 1. Find the wavelength of an electron moving at 3x10 7 ms -1. (mass of electron = 9 x 10 -31 kg). 2. Find the wavelength of a cricket ball of mass 0.15 kg moving at 30 m s -1. In 1923 Louis de Broglie proposed that a particle of mass m travelling with a velocity v would have a wavelength λ given by the equation: where h is the Planck constant. The intensity of the wave represented the probability of the particle being and at that point
https://en.wikipedia.org/wiki/Wavelength http://staff.orecity.k12.or.us/les.sitton/Nuclear/The%20De%20Broglie%20Wavelength%20and%20the%20Wave%20Nature%20of%20Matter.htm http://staff.orecity.k12.or.us/les.sitton/Nuclear/The%20De%20Broglie%20Wavelength%20and%20the%20Wave%20Nature%20of%20Matter.htm https://answers.yahoo.com/question/index?qid=20080120190441AAtlueQ http://staff.orecity.k12.or.us/les.sitton/Nuclear/The%20De%20Broglie%20Wavelength%20and%20the%20Wave%20Nature%20of%20Matter.htm http://www.youtube.com/watch?v=-Id-DO8r67I http://www.chemteam.info/Electrons/deBroglie-Equation.html https://en.wikiversity.org/wiki/De_Broglie_wavelength http://www.schoolphysics.co.uk/age16-19/Quantum%20physics/text/De_Broglies_equation/index.html
what unit of wavelength is a de broglie