A light ray passing through air gets refracted in a medium such that reflected ray an refracted ray are perpendicular to each other. If angle of refraction is r then refractive inde of the second medium is (A) tanr (B) sec r + ranr (C) secr- tanr (D) cotr
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A light ray is travelling from air to glass. The reflected and refracted rays are perpendicular to each other. If the angle of incidence in air is i the refractive index of glass is
Medium
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Correct option is C)
Let i and r be the agle of incidence and angle of reflection respectively.
From the figure,
i+90+r=180
r=90−i
We have the equation for refractive index,
μ=
sinr
sini
⟹μ=
sin(90−i).
sini
=
cosi
sini
=tani.
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