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Q.

A ray of light is incident to the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If µ 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:

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a

tan-11μ

b

sin-1μ-1μ

c

sin-11μ

d

cos-11μ

answer is D.

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Detailed Solution

If α = maximum value of base angle for which light is totally reflected from hypotenuse. 

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90-α=C=minimum value of angle of incidence an hypotenuse for TIR 

sin (90-α)=sin C=1μ   α=cos-11μ

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