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} ) $
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Answer:
Correct Answer: C
Solution:
[c] $ \frac{3}{2}\sin c=\frac{4}{3}\sin 90 $
$ \Rightarrow $ $ c={{\sin }^{-1}}( \frac{8}{9} ) $