Geometrical Optics

A light ray is incident on a glass slab of thickness \(4 \sqrt{3} \mathrm{~cm}\) and refractive index \(\sqrt{2}\) The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ______ \(\mathrm{cm}\).

(Given \(\sin 15^{\circ}=0.25\))