A ray of light is incident from air on a glass plate having thickness √ 3 cm and refractive index √ 2. The angle of incidence of a ray is equal to…

A ray of light is incident from air on a glass plate having thickness $\displaystyle \sqrt{3} \mathrm{~cm}$ and refractive index $\displaystyle \sqrt{2}$. The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-2} \mathrm{~cm}$. (given $\displaystyle \sin 15^{\circ}=0.26$ )