A) \[\frac{1}{\sqrt{2}}\]
B) \[\sqrt{3}\]
C) \[\frac{\sqrt{3}}{2}\]
D) \[\frac{3}{2}\]
Correct Answer: B
Solution :
For an equilateral prism, angle of prism of refracting angle\[A={{60}^{o}}\] Here, \[{{\delta }_{m}}=A={{60}^{o}}\] \[\therefore \]Refractive index, \[\mu =\frac{\sin \left( \frac{A+{{\delta }_{m}}}{2} \right)}{\sin \frac{A}{2}}=\frac{\sin \left( \frac{{{60}^{o}}+{{60}^{o}}}{2} \right)}{\sin \left( \frac{{{60}^{o}}}{2} \right)}\] \[=\frac{\sin {{60}^{o}}}{\sin {{30}^{o}}}=\frac{\sin {{60}^{o}}}{\cos {{60}^{o}}}=\tan {{60}^{o}}=\sqrt{3}\]
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