Optics Question 720

Question: The length of the optical path of two media in contact of length $ d _{1} $ and $ d _{2} $ of refractive indices $

$ $ {\mu _{1}} $ and $ {\mu _{2}} $ respectively, is

Options:

A) $ {\mu _{1}}d _{1}+{\mu _{2}}d _{2} $

B) $ {\mu _{1}}d _{2}+{\mu _{2}}d _{1} $

C) $ \frac{d _{1}d _{2}}{{\mu _{1}}{\mu _{2}}} $

D) $ \frac{d _{1}+d _{2}}{{\mu _{1}}{\mu _{2}}} $

Show Answer

Answer:

Correct Answer: A

Solution:

Optical path = $ \mu t $ In medium (1), optical path = $ {\mu _{1}}d _{1} $ In medium (2), optical path = $ {\mu _{2}}d _{2} $

$ \therefore $ Total path = $ {\mu _{1}}d _{1}+{\mu _{2}}d _{2} $



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