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