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Angle of incidence when the emergent ray just grazes the face of an equilateral prism of refractive index root 2

The same question, asked 2 times: 23 Apr 2025 S1, 17 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    23 Apr 2025 S1

    16
    A ray of light is incident on first face of an equilateral glass prism at an angle of incidence 'I'. The emergent ray just grazes along the adjacent face. The refractive index of the prism is 2\sqrt{2}. The value of angle of incidence at first face is (sin⁡45∘=12,sin⁡90∘=1)\left( \sin45^{\circ}=\frac{1}{\sqrt{2}},\sin90^{\circ}= 1 \right)

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  2. Question 2

    17 Apr 2026 S2

    140
    A ray of light incident on one face of an equilateral glass prism having refractive index 2\sqrt{2}, produces the emergent ray which just grazes along the adjacent face. The value of angle of incidence is (sin⁡90∘=1)(\sin 90^\circ = 1) (sin⁡30∘=12)(sin⁡45∘=12)\left(\sin 30^\circ = \dfrac{1}{2}\right)\left(\sin 45^\circ = \dfrac{1}{\sqrt{2}}\right)

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