Question

When light is incident on the surface of medium at angle $i$ and refracted into a second medium at an angle $r$ the graph of $sini$ vs $sinr$ is as shown in the graph. From this, one can conclude that

• A. Velocity of light in the medium II is 1.73 times the velocity of light in the I medium
• B. Velocity of light in the I medium is 1.73 times the velocity in the II medium
• C. Medium II is optically denser than medium I
• D. $sin{i}_c=\frac{1}{2}$

Answer 1

Answer: (B), (C)

The correct options are
B

Velocity of light in the I medium is 1.73 times the velocity in the II medium

C

Medium II is optically denser than medium I

From the graph,
$tan{30}^{\circ }=\frac{sinr}{sini}=\frac{1}{{}_{{\mu }_{21}}}=\frac{1}{\sqrt{3}}$

$\Rightarrow {}_{{\mu }_{21}}=\sqrt{3}\Rightarrow \frac{{\mu }_2}{{\mu }_1}=\frac{v_1}{v_2}=1.73$

$\Rightarrow v_1=1.73v_2$

Also from $\mu =\frac{1}{sinC}$

$\Rightarrow sinC=\frac{1}{{}_{{\mu }_{21}}}=\frac{1}{\sqrt{3}}$.