First slide

Prism

Question

A ray of light is incident at an angle of 60° on one face of a prism of angle 30°. The ray emerging out of the prism makes an angle of 30° with the incident ray. The emergent ray is

Moderate

A

Normal to the face through which it emerges
B

Inclined at 30° to the face through which it emerges
C

Inclined at 60° to the face through which it emerges
D

None of these

Solution

$We know that δ = i + e - A \Rightarrow e = δ + A - i = 30^{\circ} + 30^{\circ} - 60^{\circ} = 0^{\circ} ∴ Emergent ray will be perpendicular to the face . Therefore it will make an angle of 90 ° with the face through which it emerges .$

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