Optics Question 949

Question: A light wave travels from glass to water. The refractive index for glass and water are $ \frac{3}{2} $ and $ \frac{4}{3} $ respectively. The value of the critical angle will be:

Options:

A) $ {{\sin }^{-1}}( \frac{1}{2} ) $

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

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

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

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ \frac{3}{2}\sin c=\frac{4}{3}\sin 90 $

$ \Rightarrow $ $ c={{\sin }^{-1}}( \frac{8}{9} ) $



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