A) \[45{}^\circ \]
B) \[60{}^\circ \]
C) \[90{}^\circ \]
D) \[180{}^\circ \]
Correct Answer: A
Solution :
In relation for refractive index of prism is \[\mu =\frac{\sin i}{\sin r}\] ? (i) The condition for minimum deviation is \[r=\frac{A}{2}=\frac{{{60}^{o}}}{2}={{30}^{o}}\] Putting the given values of \[\mu =\sqrt{2}\] and \[r={{30}^{o}}\]in Eq. (i), we get \[\sqrt{2}=\frac{\sin i}{\sin {{30}^{o}}}\] or \[\sin i=\sqrt{2}\times \frac{1}{2}=\frac{1}{\sqrt{2}}\] \[\sin i=\sin {{45}^{o}}\] \[i={{45}^{o}}\]
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