Light is incident normally on face AB of a prism as shown in figure. A liquid of refractive index 3/2 is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limits of \[\mu \]for which total internal reflection cannot take place on face AC is |
A) \[\frac{3\sqrt{3}}{4}>\mu >\frac{\sqrt{3}}{2}\]
B) \[\mu <\frac{3\sqrt{3}}{4}\]
C) \[\mu >\sqrt{3}\]
D) \[\mu <\frac{\sqrt{3}}{2}\]
Correct Answer: B
Solution :
[b] For total internal reflection to take place |
\[\sin 60{}^\circ \ge \sin C\] |
\[\sin 60{}^\circ \ge \frac{2\mu }{3}\Rightarrow \mu \le \frac{3\sqrt{3}}{4}\] |
\[\Rightarrow \] \[\mu <\frac{3\sqrt{3}}{4},\mu =\frac{3\sqrt{3}}{4}\] |
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