A light ray is incident on a prism in air at an angle θ as shown in Fig. 1. The ray is refracted at the first surface and again at the second surface. In terms of the apex angle ϕ of the prism and its index of refraction n, determine the smallest value of θ for which the ray will emerge from the other side. Find this minimum θ for n = 1.5 and ϕ = 60°.
Figure 1
Prism.
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