Physics Question from JEE Main 2023 · 25 January, Shift 1

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