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A ray \( O P \) monochromatic light is incident on the face \( A B \) of prism \( A B C D \) near vertex \( B \) at an incident angle of \( 60^{\circ} \) (see figure). If the refractive index of the material of the prism is \( \sqrt{3} \) which of the following is (are) correct? rhis question has multiple correct options

1. The ray gets totally internally reflected at face \( c D \)
2. The ray comes out through face AD
3. The angle between the incident ray and the emergent ray is \( 90^{\circ} \)
4. The angle between the incident ray and the emergent ray is \( 120^{\circ} \)

Correct answer: The angle between the incident ray and the emergent ray is \( 90^{\circ} \)

Solution

At the first face, Snell’s law gives the refracted angle inside the prism, and the ray then strikes the next face at an angle that leads to total internal reflection. After reflection, the emergent ray ends up perpendicular to the incident ray, so the deviation is 90°.

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