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Question

A ray of light is incident at an angle i from denser to rare medium. The reflected and the refracted rays are mutually perpendicular. The angle of reflection and the angle of refraction are respectively r and r’, then the critical angle will be

A
sin1(sinr)
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B
sin1(tanr)
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C
sin1(tani)
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D
tan1(sini)
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Solution

The correct option is C sin1(tani)
DμR=sinisinrRμD=sinrsini=1sinCsinC=sinisin(90r)=sinicosr=sinicosi(asi=r)sinC=taniC=sin1(tani)

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