Optics Question 977

Question: A ray of light propagates from glass (refractive index = 3/2) to water (refractive index = 4/3). The value of the critical angle

[JIPMER 1999; UPSEAT 2001; MP PMT 2000, 03]

Options:

A) sin-1(1/2)

B) $ {{\sin }^{-1}}( \frac{\sqrt{8}}{9} ) $

C) $ {{\sin }^{-1}}(8/9) $

D) $ {{\sin }^{-1}}(5/7) $

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Answer:

Correct Answer: C

Solution:

$ C={{\sin }^{-1}}( \frac{1}{ _{w}{\mu _{g}}} )={{\sin }^{-1}}( \frac{{\mu _{w}}}{{\mu _{g}}} )={{\sin }^{-1}}( \frac{8}{9} ) $



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