A) \[\sqrt{2}\]
B) \[{{\sin }^{-1}}(\sqrt{3})\]
C) \[{{\tan }^{-1}}(\sqrt{2})\]
D) \[{{\tan }^{-1}}(\sqrt{3})\]
Correct Answer: A
Solution :
Refractive index of prism \[\mu =\frac{\sin \frac{A+\delta m}{2}}{\sin A/2}\] \[=\frac{\sin \frac{60{}^\circ +30{}^\circ }{2}}{\sin \frac{60}{2}}\] \[=\frac{\sin 45{}^\circ }{\sin 30{}^\circ }=\frac{\frac{1}{\sqrt{2}}}{\frac{1}{2}}=2\]
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