Consider an equilateral prism (refractive index ). A ray of light is incident on its one surface at a certain angle i. 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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Solution

Q.
Consider an equilateral prism (refractive index $\sqrt{2}$ ). A ray of light is incident on its one surface at a certain angle $i$ . If the emergent ray is found to graze along the other surface, then the angle of refraction at the incident surface is close to ______. [2026]

1 15°

2 40°

3 30°

4 20°

Ans.
(1)

$Equilateral prism$

$A = 60 °$

$μ \sin r_{2} = 1 \cdot \sin e = 1$

$\sin r_{2} = \frac{1}{μ} = \frac{1}{\sqrt{2}}$

$r_{2} = 45 °$

$∴$ $r_{1} = A - r_{2} = 15 °$

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