A) \[{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
B) \[{{\tan }^{-1}}\left( \frac{5}{3} \right)\]
C) \[{{\tan }^{-1}}\left( \frac{3}{4} \right)\]
D) \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\]
Correct Answer: B
Solution :
Given, that sin \[C=\frac{3}{5}\] hence refractive index, \[x=\frac{1}{\sin C}=\frac{5}{3}\] Then, \[\tan \,{{i}_{p}}=n\] \[={{\tan }^{-1}}\left( \frac{5}{3} \right)\] \[{{i}_{p}}=\frac{5}{3}\]
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