A) \[\theta ={{\tan }^{-1}}\left( \sqrt{2} \right)\]
B) \[\theta =si{{n}^{-1}}\left( \sqrt{2} \right)\]
C) \[\theta ={{\cos }^{-1}}\left( \frac{1}{\sqrt{2}} \right)\]
D) \[\theta ={{\cot }^{-1}}\left( \sqrt{2} \right)\]
Correct Answer: A
Solution :
Given that, C = 45° For total internal reflection, \[\mu =\frac{1}{\sin C}=\frac{1}{\sin {{45}^{o}}}\] or \[\mu =\sqrt{2}\] But \[\mu =\tan \theta \](by Brewsters law) \[\therefore \] \[\theta ={{\tan }^{-1}}\mu \] or \[\theta ={{\tan }^{-1}}(\sqrt{2})\]
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