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Question

A light ray is incident perpendicular to one face of a 90 prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45, we conclude that the refractive index n

A
n<12
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B
n>2
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C
n>12
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D
n<2
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Solution

The correct option is C n>2
Given,

The incident angle is i=45
The critical angle is θc

It can be observed that
i>θc

Hence,
sini>sinθc

The critical angle is given as
sinθc=1n

Where n is the refractive index of prism
Therefore,

sini>1n

Substituting i=45

sin45>1n

12>1n

n>2 .


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