Discussion
The refractive index of the material of a glass prism of refracting angle 60° and angle of minimum deviation 30° is
Answer: B
The refractive index is \(\sqrt{2}\).
\[ \begin{aligned} \mu &= \frac{\sin\frac{A + D_{m}}{2}}{\sin\frac{A}{2}} = \frac{\sin 45^{\circ}}{\sin 30^{\circ}} \\ &= \frac{1/\sqrt{2}}{1/2} = \sqrt{2} \end{aligned} \]
A refractive index is greater than 1 for glass, which rules out \(\frac{1}{\sqrt{2}}\), \(\frac{1}{\sqrt{3}}\) and \(\frac{\sqrt{3}}{2}\); \(\sqrt{3}\) would need a minimum deviation of 60°.
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