Light is incident normally on face AB of a prism as shown in fig. A liquid of refractive index $μ$ , is placed on face AC of the prism. The prism is made of glass of refractive index $\frac{3}{2}$ . The limit of $μ$ for which total internal reflection takes place on face AC is

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The ray strikes face AB normally, so it reaches face AC with angle of incidence equal to the prism angle A.

Total internal reflection at AC needs $sin A \geq \frac{μ}{3/2}$ .

So the limiting value is $μ = \frac{3}{2} sin A$ .

Answer: B

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