Q. If the angle of minimum deviation is of $60{^\circ}$ for an equilateral prism, then the refractive index of the material of the prism is

A) 1.41
B) 1.5
C) 1.6
D) 1.73
Explanation

(d) $\mu = \frac{\sin\left( \frac{A + \delta_{m}}{2} \right)}{\sin\frac{A}{2}}$
For equilateral prism, $\angle A = 60{^\circ}$
$\mu = \frac{\sin\left( \frac{60{^\circ} + 60{^\circ}}{2} \right)}{\sin\frac{60{^\circ}}{2}} = \frac{\sin{60{^\circ}}}{\sin{30{^\circ}}} = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}} = \sqrt{3} = 1.73$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.