Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Ray Optics

Question:

A ray of light falls on the surface of spherical glass (having refractive index n) making angle 30° with normal then net angle of deviation between emergent and incident rays is

Options:

$30^{\circ}-2 \sin ^{-1} \frac{1}{2 n}$

Zero

$60^{\circ}-2 \sin ^{-1} \frac{1}{2 n}$

$30^{\circ}- 8\sin ^{-1} \frac{1}{n}$

Correct Answer:

$60^{\circ}-2 \sin ^{-1} \frac{1}{2 n}$

Explanation:

$\sin 30^{\circ}=n \sin r ; r=\sin ^{-1} \frac{1}{2 n}$

$\delta=30-r=30-\sin ^{-1} \frac{1}{2 n}$

$\delta_{net}=60-2 \sin ^{-1} \frac{1}{2 n}$