(b) $\ _{2}\mu_{1} = \frac{1}{\sin\theta} \Rightarrow \frac{\mu_{1}}{\mu_{2}} = \frac{1}{\sin\theta} \Rightarrow \frac{v_{2}}{v_{1}} = \frac{1}{\sin\theta} \Rightarrow \frac{v_{2}}{v} = \frac{1}{\sin\theta}$
$\Rightarrow v_{2} = \frac{v}{\sin\theta}$