A ray of light is incident at 60° on one face of a prism of angle 30° and the emergent ray makes 30° with the incident ray. The refractive index of the prism is (sin 30° = 0.5, sin 60° = √(3)/2) (a) 1.732 (b) 1.414 (c) 1.5 (d) 1.33

Answer: (a). δ = i + e - A ⇒ 30° = 60° + e - 30° ⇒ e = 0. So the ray leaves the second face normally: r₂ = 0, r₁ = A = 30°. μ = (sin 60°)/(sin 30°) = (√(3)/2)/(1/2) = √(3) = 1.732 So the answer is (a) 1.732.

A ray of light is incident at 60° on one face of a prism of angle 30°… | MHT CET 2024 (3 May, Shift 1)

Q33MHT CET 2024 · 3 MAY · SHIFT 1Medium

Prism, Dispersion & Scattering

A ray of light is incident at $60^\circ$ on one face of a prism of angle $30^\circ$ and the emergent ray makes $30^\circ$ with the incident ray. The refractive index of the prism is $\left(\sin 30^\circ = 0.5, \sin 60^\circ = \sqrt{3}/2\right)$

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Answer: (a)

$\delta = i + e - A \Rightarrow 30^\circ = 60^\circ + e - 30^\circ \Rightarrow e = 0$ .
So the ray leaves the second face normally: $r_2 = 0$ , $r_1 = A = 30^\circ$ .
$\mu = \frac{\sin 60^\circ}{\sin 30^\circ} = \frac{\sqrt{3}/2}{1/2} = \sqrt{3} = 1.732$
So the answer is (a) 1.732.

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Prism, Dispersion & Scattering question from MHT CET 2024 (3 May, Shift 1)

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