Optics Question 765

Question: Velocity of light in glass whose refractive index with respect to air is 1.5 is $ 2\times 10^{8}m/s $ and in certain liquid the velocity of light found to be $ 2.5\times 10^{8}m/s $ . The refractive index of the liquid with respect to air is

[CPMT 1978; MP PET/PMT 1988]

Options:

A) 0.64

B) 0.80

C) 1.20

D) 1.44

Show Answer

Answer:

Correct Answer: C

Solution:

$ \mu \propto \frac{1}{v}\Rightarrow \frac{{\mu _{l}}}{{\mu _{g}}}=\frac{v _{g}}{v _{l}}\Rightarrow \frac{{\mu _{l}}}{1.5}=\frac{2\times 10^{8}}{2.5\times 10^{8}}\Rightarrow {\mu _{l}}=1.2 $



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