Question

Calculate the refractive index of the material of an equilateral prism for which the angle of minimum deviation is 60°.

(a) \(\frac {\sqrt {3}}{2}\)

(b) √3

(c) \(\frac {1}{2}\)

(d) \(\frac {1}{\sqrt {2}}\)

This question was addressed to me in an interview for internship.

I need to ask this question from Ray Optics in section Ray Optics and Optical Instruments of Physics – Class 12

Answer 1

Correct choice is (b) √3

The explanation: Refractive index of the prism material is μ = \( \frac { \{ sin \frac {(A+\delta_m)}{2} \} }{ \{  sin \frac {A}{2} \} }\)

μ = \( \frac { \{ sin \frac {(60^o+60^o)}{2} \} }{ \{ sin \frac {60^o}{2} \} } \)

μ = √3.