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 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 ________ \( \times 10^{-2} \, \text{cm} \). (Given \( \sin 15^\circ = 0.26 \))
