JEE Main 2023 Physics question on Ray Optics

A ray of light is incident from air on a glass plate having thickness $\sqrt{3}$ cm and refractive index $\sqrt{2}$. 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 ________ $\times 10^{-2}$ cm. (given $\sin 15° = 0.26$)