A ray of light enters into a glass slab from air as shown in fig. given below. If refractive index of glass slab is given by µ = A – Bt where A and B are constants and t is the thickness of slab measured from the top surface. Find the maximum depth traveled by ray in the slab. Assume thickness of slab to be sufficiently large.
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Sol. The path of ray is curved as shown in figure. As it travels successively into denser layers, it bends away from normal and TIR takes place at depth where angle of incidence approaches 
.
Apply Snell's law at interfaces P and Q, we get
1 × sin 60º = µ B . sin 
or 
= (A – B t max ). 1
t max = 
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