A ray of light is incident from air on a glass plate having thickness $\sqrt3$ cm and refractive index $\sqrt2$. 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 $\sin 15^\circ = 0.26$)