Question

A layer of benzene floats on water. If the angle of incidence of the light entering benzene from air is ${60}^{\circ }$, then the angle that light makes with normal in water is (Refractive index of water $=\frac{4}{3}$)

• A. ${30}^{\circ }$
• B. ${\text{sin}}^{-1}\left(\frac{3\sqrt{3}}{8}\right)$
• C. ${\text{sin}}^{-1}\left(\frac{1}{\sqrt{3}}\right)$
• D. Data not sufficient

Answer 1

The correct option is B

${\text{sin}}^{-1}\left(\frac{3\sqrt{3}}{8}\right)$

${\mu }_1\text{sin}{i}_1={\mu }_3\text{sin}{i}_3$

$\therefore \text{sin}{i}_3=\frac{{\mu }_1\text{sin}{i}_1}{{\mu }_s}=\frac{3\sqrt{3}}{8}$