Question

A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is :

A

B

C

D

Medium
Updated on : 2022-09-05
Solution
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Correct option is D)

Use critical angle 
Calculating the maximum value of the base angle
If    is maximum value of base angle for which light is totally reflected from the hypotenuse and    is the minimum value of angle of incidence at hypotenuse for total internal reflection.
Then ,
From diagram



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