A) \[{{\sin }^{-1}}\left( \frac{1}{5} \right)\]
B) \[{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
C) \[{{\sin }^{-1}}\left( \frac{1}{2} \right)\]
D) \[{{\sin }^{-1}}\left( \frac{1}{4} \right)\]
Correct Answer: B
Solution :
Critical angle is given by \[\sin C=\mu =\frac{{{v}_{1}}}{{{v}_{2}}}\] \[=\frac{2\times {{10}^{8}}}{2.5\times {{10}^{8}}}=\frac{20}{25}=\frac{4}{5}\] or \[C={{\sin }^{-1}}\left( \frac{4}{5} \right)\]
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