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Show that the condition for constructive interference for the following situation with a general angle of incidence θ is given by:

2n(oil)tcosθ' = (m+1/2)λ , m= 0±1,±2±,....

where t is the thickness of the oil film and λ is the wavelength of the incidence light in vacuum and we will assume n(air) = 1 and n(out)> n(glass) for this problem.

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