First slide

Ray optics

Question

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

Easy

A

$\frac{3}{2}$
B

$\frac{2}{\sqrt{3}}$
C

$\sqrt{2}$
D

2

Solution

This ray falls normally on AB $r_{1} = 0, r_{2} = A = C = 60^{0}$
$μ = \frac{1}{\sin 60^{0}} = \frac{2}{\sqrt{3}}$

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