Optics Question 715

Question: A vessel of depth 2d cm is half filled with a liquid of refractive index $ {\mu _{1}} $ and the upper half with a liquid of refractive index $ {\mu _{2}} $ . The apparent depth of the vessel seen perpendicularly is

[SCRA 1994]

Options:

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

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

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

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

Show Answer

Answer:

Correct Answer: B

Solution:

$ {h}’=\frac{d _{1}}{{\mu _{1}}}+\frac{d _{2}}{{\mu _{2}}}=d( \frac{1}{{\mu _{1}}}+\frac{1}{{\mu _{2}}} ) $



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