A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[90{}^\circ \]
Correct Answer: B
Solution :
For minimum deviation, \[r=\frac{A}{2}=\frac{60}{2}={{30}^{o}}\] We know,\[\mu =\frac{\sin i}{\sin {{30}^{o}}}\] or \[\sin i=\sqrt{2}\times \frac{1}{2}=\frac{1}{\sqrt{2}}\] \[\Rightarrow \] \[\sin i=\sqrt{2}\times \frac{1}{2}=\frac{1}{\sqrt{2}}\] \[=\sin {{45}^{o}}\] \[\therefore \] \[\mathbf{i=4}{{\mathbf{5}}^{\mathbf{o}}}\]
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