A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60° (see figure). If the refractive index of the material of the prism is , which of the following is (are) correct?

Engineering

Physics

Prism

Question

A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60° (see figure). If the refractive index of the material of the prism is $\sqrt{3}$ , which of the following is (are) correct?

The angle between the incident ray and the emergent ray is 90°

The ray gets totally internally reflected at face CD

The ray comes out through face AD

The angle between the incident ray and the emergent ray is 120°

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90° + 60° + 75° + x = 360°

x = 360° – 225° = 135°

${sinθ}_{c} = \frac{1}{\sqrt{3}} = \frac{1 .732}{3} = . 58$

$\sin 45 ° = \frac{1}{\sqrt{2}}$

$\sin 30 ° = \frac{1}{2} = . 5 \frac{dx}{\sqrt{x^{2} + a^{2}}}$

$\sqrt{3} \sin 30 ° = 1 sinθ$

$∴ sinθ = \frac{\sqrt{3}}{2} ∴ θ = 60 º$