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Refractive index of a prism whose second face is silvered, for incidence 2A returning along its path

The same question, asked 3 times: 9 May 2024 S1, 11 May 2024 S1, 20 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2024 S1

    50
    The angle of prism is AA and one of its refracting surfaces is silvered. Light rays falling at an angle of incidence '2A2A' 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

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  2. Question 2

    11 May 2024 S1

    42
    The prism has refracting angle A. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence 2A, reaches the second surface and returns back through the same path due to reflection at the silvered surface. The refractive index of the material of the prism is

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  3. Question 3

    20 Apr 2026 S1

    140
    The prism has refracting angle A. The second refracting surface of the prism is silvered. Light ray falling on first refracting surface with angle of incidence 2A2A, reaches the second surface and returns back through same path due to reflection at the silvered surface. The refractive index of the material of prism is

    Tap an option to check your answer.