Optics Question 172

Question: White light may be considered to be a mixture of waves with l ranging between 3900AA and 7800AA . An oil film of thickness 10,000AA is examined normally by reflected light. If m = 1.4, then the film appears bright for

Options:

A) 4308AA,5091AA,6222AA

B) 4000AA,5091AA,5600AA

C) 4667AA,6222AA,7000AA

D) 4000AA,4667AA,5600AA,7000AA

Show Answer

Answer:

Correct Answer: A

Solution:

The film appears bright when the path difference (2μtcosr) is equal to odd multiple of λ2

i.e. 2μtcosr=(2n1) λ/2 where n=1,2,3..

λ=4μtcosr(2n1)

=4×1.4×10,000×1010×cos0(2n1)=56000(2n1)AA

λ=56000AA

18666AA,

8000AA,

6222AA,

5091AA,

4308AA,

3733AA. The wavelength which are not within specified range are to be refracted.



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