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Wave Optics

Question

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A ray of light falls an a transparent slab of μ = 1.732. If reflected and refracted rays are mutually perpendicular, what is the angle of incidence?

Solution

Refractive index of transparent slab,

μ

= 1.732
Reflected rays and refracted rays are mutually perpendicular to each other.

Using formula,

\tan i_{p} = μ

\Rightarrow

\tan i_{p} = 1.732

\Rightarrow

i_{p} = \tan^{- 1} (1.732) = \tan^{- 1} (\sqrt{3})

i.e.,

i_{p} = 60 ° .

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