Ray optics

Question

An equilateral prism ABC is placed in air with its base side BC lying horizontally along x-axis. A light ray $\sqrt{3}\mathrm{z}+\mathrm{x}=10$ is incident at a point P on face AB of the prism.

If $\mu $ for the prism is $\frac{3}{2}$ , then net deviation of the ray as it emerges out of the prism is

Difficult

Solution

For $\mathrm{\mu}=\frac{3}{2},$ total internal reflection takes place at AC. From geometry, it in clear that ray

in perpendicular incident on BC, so net deviation = ${180}^{\mathrm{o}}-{120}^{\mathrm{o}}={60}^{\mathrm{o}},$ only at AC.

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