Question

Light is incident normally on face AB of a prIsm as shown in fig. A liquid Of refractive index is placed on face AC Of the prism. The prism is made of glass of refractive index 312 The prims of $\mu$ for Which total Internal reflection takes place on face AC is

• A. $\mu >\sqrt{3}$
• B. $\mu <\sqrt{3}/2$
• C. $\mu <\frac{3\sqrt{3}}{4}$
• D. $\mu >\sqrt{3}/2$

Answer 1

The correct option is C $\mu <\frac{3\sqrt{3}}{4}$

According to the question,

$\begin{array}{c}\frac{3}{2}\sin {60}^0\ge \mu \sin {90}^0\\ \mu \le \frac{3}{2},\frac{\sqrt{3}}{2}\\ \mu \le \frac{3\sqrt{3}}{4}\end{array}$

Hence,

option $\left(C\right)$ is correct answer.