A ray is incident on a prism of material of refractive index √ 2 at point M such that it grazes along NC after emerging from the prism, as shown in…

$$\begin{aligned} & \mu=\frac{1}{\sin i_{c}} \Rightarrow \sqrt{2}=\frac{1}{\sin i_{c}} \\ & i_{c}=45^{\circ} \end{aligned} $$ b) $$r_{2}=45^{\circ}=i_{c} $$ $\displaystyle A=r_{1}+r_{2}$ $\displaystyle 60=r_{1}+45^{\circ}$ $$r_{1}=15^{\circ} $$