Question

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

• A. $\mu >\frac{\sqrt{3}}{2}$
• B. $\mu <\frac{\sqrt[3]{33}}{4}$
• C. $\mu >\sqrt{3}$
• D. $\mu <\frac{\sqrt{3}}{2}$

Answer 1

The correct option is B $\mu <\frac{\sqrt[3]{33}}{4}$

$sin60>\frac{\mu }{\left(\frac{3}{2}\right)}\Rightarrow \mu <\frac{\sqrt[3]{33}}{4}$