Q.

A ray of light is incident at an angle ï from denser to rarer 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

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a

sin-l (sin r)

b

sin-1 (tan r1)

c

sin-1 (tan i)

d

tan-1 (sin i)

answer is C.

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Detailed Solution

DμR=sinisinr'⇒RμD=sinr'sini=1sinC⇒sinC=sinisin90−r=sinicosr=sinicosias  ∠i=∠r⇒sinC=tani⇒C=sin−1tani
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A ray of light is incident at an angle ï from denser to rarer 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