An optical fibre (μ = 1.72) is surrounded by a glass coating (μ = 1.50). Find the critical angle for total internal reflection at the fibre-glass interface.

A cylindrical vessel, whose diameter and height both are equal to 30 cm, is placed on a horizontal surface and a small particle P is placed in it at a distance of 5.0 cm from the center. An eye is placed at a position such that the edge of the bottom is just visible (see figure 18-E8). The particle P is in the plane of drawing. Up to what minimum height should water be poured in the vessel to make the particle P visible?

A light ray is incident at an angle of 45° with the normal to a √2 cm thick plate (μ = 2.0). Find the shift in the path of the light as it emerges out from the plate.

A light ray is incident normally on the face AB of a right-angled prism ABC (μ = 1.50) as shown in figure (18-E9). What is the largest angle ϕ for which the light ray is totally reflected at the surface AC?

Find the maximum angle of refraction when a light ray is refracted from glass (μ = 1.50) to air.