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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