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A ray is incident normally on a right angle prism whose refractive index is 3 and prism angle α=30° , after crossing prism ray passes through glass sphere. It strikes the glass sphere of same refractive index, at R2 distance from principal axis, as shown in the figure, sphere is half polished. The net angle of deviation of the incident ray is

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a

1800

b

600

c

450

d

900

answer is A.

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Detailed Solution

Given refractive index μ=3Angle of prism α=30∘According to Snell’s law,μsin⁡α=1⋅sin⁡β3sin⁡30∘=sin⁡β⇒β=60∘⇒β−α=30∘sinθ=R2R=12⇒θ=30∘=β−α∴ The incident ray on the sphere is directed radially.∴ It will be reflected back and will retrace the path∴Angle of deviation is 180∘Therefore, the correct answer is (A).

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A ray is incident normally on a right angle prism whose refractive index is 3 and prism angle α=30° , after crossing prism ray passes through glass sphere. It strikes the glass sphere of same refractive index, at R2 distance from principal axis, as shown in the figure, sphere is half polished. The net angle of deviation of the incident ray is