Question

# A ray of light is incident at an angle i on a glass slab of refractive index μ. The angle between reflected and refracted light is 90o. Then the relationship between i and μ is.

A
i=tan1(1μ)
B
tani=μ
C
sini=μ
D
cosi=μ
Solution
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#### Let the angle of reflection and refraction be r1,r2 respectively.Since angle between reflected and refracted ray is 90∘, r1+r2=90∘.From law of reflection, r1=iFrom Snell's law,sini=μsinr2=μsin(90∘−r1)=μcosr1=μcosi⟹tani=μ

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