Q. A medium shows relation between $i$ and $r$ as shown. If speed of light in the medium is $nc$ then value of $n$ is
A) 1.5
B) 2
C) $2^{- 1}$
D) $3^{- 1/2}$
Explanation
(d) From graph it is clear that $\tan{30{^\circ}} = \frac{\sin r}{\sin i}$
$\Rightarrow \frac{1}{\sqrt{3}} = \frac{\sin r}{\sin i} = \frac{1}{\mu} \Rightarrow \mu = \sqrt{3}$
Also $v = \frac{c}{\mu} = nc \Rightarrow n = \frac{1}{\mu} = \frac{1}{\sqrt{3}} = (3)^{- 1/2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.