A ray of light passes from vacuum into a medium of refractive index μ,the

Question

A ray of light passes from vacuum into a medium of refractive index

μ

,the angle of incidence is found to be twice the angle of refraction. Then the angle of incidence is

Options:

A . cos−1(μ2)

B . 2cos−1(μ2)

C . 2sin−1(μ)

D . 2sin−1(μ2)

Answer: Option B
:
B
By using

μ = \frac{s i n i}{s i n r} \Rightarrow μ = \frac{s i n 2 r}{s i n r} = \frac{2 s i n r c o s r}{s i n r}

\Rightarrow r = c o s^{- 1} (\frac{μ}{2}) . S o, i = 2 r = 2 c o s^{- 1} (\frac{μ}{2})

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