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Question

A ray of light travelling in a transparent medium of refractive index μ, falls on a surface separating the medium from air at an angle of incidence of 45o. For which of the following value of μ the ray can undergo total internal reflection?

A
μ=1.33
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B
μ=1.40
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C
μ=1.50
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D
μ=1.25
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Solution

The correct option is D μ=1.50
Given: The angle of incidence of the ray is 45.

To find: The refractive index of the medium for Total Internal Reflection to occur.

For total internal reflection, the angle of incidence should be greater than the critical angle.
The critical angle for the ray can be given by:
sin C=1μ

C=sin11μ

and sin C>sin 45

sin45>1μ
μ>1sin 45

μ>1.41

Option (C) is correct.

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