Question

A ray of light strikes a glass plate at an angle of 60°. If the reflected and refracted rays are perpendicular to each other, the index of refraction of glass is(a) $\frac{1}{2}$(b) $\sqrt{\frac{3}{2}}$(c) $\frac{3}{2}$(d) 1.732

Answer 1

The angle of reflection is 60 deg, same as angle of incidence. Given that the rays reflected and refracted are at 90 deg, the angle of refraction is 180 - (60 + 90) = 30 deg.

So refractive index = sin (incident angle) / sin (refracted angle) = sqrt (3) = 1.732

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