Optics Question 756

Question: The ratio of thickness of plates of two transparent mediums A and B is 6 : 4. If light takes equal time in passing through them, then refractive index of B with respect to A will be

[UPSEAT 1999]

Options:

A) 1.4

B) 1.5

C) 1.75

D) 1.33

Show Answer

Answer:

Correct Answer: B

Solution:

Time taken by light to travel distance x through a medium of refractive index $ \mu $ is

$ t=\frac{\mu x}{c}\Rightarrow \frac{{\mu _{B}}}{{\mu _{A}}}=\frac{x _{A}}{x _{B}}=\frac{6}{4}\Rightarrow _{A}{\mu _{B}}=\frac{3}{2}=1.5 $



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