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Grazing emergence from a prism

This type of question, asked 2 times: 21 Jan 2026 S2, 22 Jan 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    21 Jan 2026 S2

    20
    As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface. If refractive index of the material of prism is 2\sqrt{2}, the angle θ\theta of prism is.

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  2. Question 2

    22 Jan 2026 S1

    15
    Consider an equilateral prism (refractive index 2\sqrt{2} ). A ray of light is incident on its one surface at a certain angle ii. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to ____\_\_\_\_ .

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