Question

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

• A. Velocity of light in the second medium 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. The critical angle for the two media is given by sin $i_c=\frac{1}{\sqrt{2}}$
• D. $sin{i}_c=\frac{1}{2}$

Answer 1

The correct option is B Velocity of light in the I medium is 1.73 times the velocity in the II medium

From graph $tan{30}^{\circ }=\frac{sinr}{sini}=\frac{1}{{}_1\mu 2}{\Rightarrow }_1{\mu }_2=\sqrt{3}\Rightarrow \frac{{\mu }_2}{v_2}=\frac{v_1}{v_2}=1.73\Rightarrow v_1=1.75v_2$
Also from $\mu =\frac{1}{sinC}\Rightarrow sinC=\frac{1}{Raver\mu Denser}\Rightarrow sinC=\frac{1}{{}_1{\mu }_2}=\frac{1}{\sqrt{3}}$