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}}} ) $