Using Snell’s law at the surface S1:
μsinr=sinθ0............(1)
For TIR at vertical surface:
μsinθc=sin90
μsinθc=1
∵θc=90−r
μsin(90−r)=1
μcosr=1......(2)
Solving equation (1) and (2)
μ2(sin2r+cos2r)=sin2θ0+1
μ2=sin2θ0+1
μ=√sin2θ0+1
Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index μis placed on face AC of the prism. The prism is made of glass of refractive index 32The limits of μ for which total internal reflection takes place on face AC is