Q. A ray of light travels from a medium of refractive index $\mu$ to air. Its angle of incidence in the medium is $i$, measured from the normal to the boundary, and its angle of deviation is $\delta.\ \delta$ is plotted against $i$ which of the following best represents the resulting curve

A)
B)
C)
D)
Explanation

(a) The ray of light is refracted at the plane surface. However, since the ray is travelling from a denser to a rarer medium, for an angle of incidence (i) greater than the critical angle (c) the ray will be totally internally reflected
For $i < c;$ deviation $\delta = r - i$ with $\frac{1}{\mu} = \frac{\sin i}{\sin r}$
Hence $\delta = \sin^{- 1}{(\mu\sin i)} - i$
This is a non-linear relation. The maximum value of $\delta$ is $\delta_{1} = \frac{\pi}{2} - C$
Where $i = c$ and $\mu = \frac{1}{\sin c}$
For $i > c$, deviation $\delta = \pi - 2i$
$\delta$ decreases linearly with $i$
$\delta_{2} = \pi - 2\ c = 2\delta_{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.