White light may be considered to be a mixture of waves with l ranging between 3900 Å and 7800 Å. An oil film of thickness 10,000 Å is examined normally by reflected light. If m = 1.4, then the film appears bright for
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a
4308 Å, 5091 Å, 6222 Å
b
4000 Å, 5091 Å, 5600 Å
c
4667 Å, 6222 Å, 7000 Å
d
4000 Å, 4667 Å, 5600 Å, 7000Å
answer is A.
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Detailed Solution
The film appears bright when the path difference (2μ t cosr) is equal to odd multiple of λ2i.e. 2μtcosr=(2n−1) λ/2 where n=1, 2, 3 .....∴ λ=4μ t cosr(2n−1)=4×1.4×10,000×10−10×cos0(2n−1)=56000(2n−1)Å∴ λ=56000 Å,18666 Å,8000 Å,6222 Å,5091 Å,4308 Å,3733 Å. The wavelength which are not within specified range are to be refracted.