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Q.

A ray incident at an angle of incidence $60^{\circ}$ enters a glass sphere of refractive index $μ = \sqrt{3}$ . This ray is reflected and refracted at the farther surface of the sphere. The angle between reflected and refracted rays at this surface is

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a

$60^{\circ}$

b

$70^{\circ}$

c

$90^{\circ}$

d

$40^{\circ}$

answer is A.

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Detailed Solution

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$μ = \frac{\sin i}{\sin r}; \sqrt{3} = \frac{\sqrt{3} / 2}{\sin r} \Rightarrow r = 30^{\circ}$

$d = 180^{\circ} - (60^{\circ} + 30^{\circ}) = 90^{\circ}$

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A ray incident at an angle of incidence 60∘ enters a glass sphere of refractive index μ=3 . This ray is reflected and refracted at the farther surface of the sphere. The angle between reflected and refracted rays at this surface is