Question

Figure shows a ray of light as it travels from medium A to medium B. Refractive index of the medium B relative to medium A is

• A. $\sqrt{3}$
• B. $\frac{\sqrt{3}}{2}$
• C. $\frac{1}{2}$
• D. $2$

Answer 1

The correct option is A $\sqrt{3}$

From the given diagram, we can infer that,
$i={60}^{\circ },r={30}^{\circ }$


From the Snell's law:
$\frac{{\mu }_B}{{\mu }_A}=\frac{\sin i}{\sin r}\Rightarrow {\mu }_r=\frac{\sin {60}^{\circ }}{\sin {30}^{\circ }}\Rightarrow {\mu }_r=\frac{\sqrt{3}}{2}\times 2\therefore {\mu }_r=\sqrt{3}$
Here ${\mu }_r=$ relative refractive index of medium $B$ w.r.t medium $A$