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A ray PQ is incident normally on the face AB of a triangular prism of refracting angle 60° as shown in figure. - Physics

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Question

A ray PQ is incident normally on the face AB of a triangular prism of refracting angle 60° as shown in figure. The prism is made of a transparent material of refractive index 23. Trace the path of the ray as it passes through the prism. Calculate the angle of emergence and the angle of deviation.

Sum

Solution

Given: ∠A = 60°, ∠i = 0°

At M: Sin C = 1μ=32 = sin 60°

∴ C = 60°

So the ray PM after refraction from the face AC grazes along AC.

∴ ∠C = 90°

From ∠i + ∠C = ∠A + ∠δ

Or 0° + 90° = 60° + ∠δ

∴ δ = 90° – 60° = 30°

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Refraction Through a Prism
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