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MHT CET 2023 Physics question

PhysicsRay Optics and Optical InstrumentsMHT CET 2023

The angle of prism is A and one of its refracting surface is silvered. Light rays falling at an angle of incidence '2A' on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index of the material of the prism is

Answer: (C)

Solution

For the ray to retrace its path, it must strike the silvered face normally, so the angle of refraction at the second surface is . In a prism , hence . Applying Snell's law at the first surface with :

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Question ID VK-094672