Optics Question 858

Question: A plane wave of monochromatic light falls normally on a uniform thin layer of oil which covers a glass plate. The wavelength of source can be varies continuously. Complete destructive interference is observed for λ=5000Ao and λ=1000Ao and for no other wavelength in between. If μ of oil is 1.3 and that of glass is 1.5, the thickness of the film will be

Options:

A) 6.738×105cm

B) 5.7×105cm

C) 4×105cm

D) 2.8×105cm

Show Answer

Answer:

Correct Answer: A

Solution:

[a] In this case, both the rays suffere a phase change of 180

and the conditions for destructive interference is 2nd=(m+12)λ1

and 2nd=(m+32)λ2

m+12m+32=λ2λ1=5000700=57

and d=(m+12)λ12n=2.5×70002×1.3

=6.738×105cm



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