Question

A light ray is incident normally on the surface AB of a prism of
refracting angle 60°. If the light ray does not emerge from
AC, then find the refractive index of the prism.
​

Answer 1

The refractive index of the prism is μ > 2 / √3

Explanation:

Here for no emergence through Ac, TIR Happens at AC.

μsin ( i) > 1 x sin 90°

or μ > 1 / sin (i)

or μ > 1/ sin (60°)

or μ > 2 / √3

Thus the refractive index of the prism is μ > 2 / √3.

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