d
\({i}={A}=60^{\circ}\)

\(={\delta}_{\min }=2 {i}-{A}\)

\(=2 \times 60^{\circ}-60^{\circ}=60^{\circ}\)

\(\mu=\frac{\sin ^{-1}\left(\frac{\delta_{\min }+{A}}{2}\right)}{\sin ^{-1}\left(\frac{{A}}{2}\right)}\)

\(=\sqrt{3}\)

\({V}_{\text { prism }}=\frac{3 \times 10^{8}}{\sqrt{3}}\)

\({AP}=10 \times 10^{-2} \times \frac{\sqrt{3}}{2}\)

\(\text { time }=\frac{5 \times 10^{-2}}{3 \times 10^{8}} \times \sqrt{3} \times \sqrt{3}\)

\(=5 \times 10^{-10}\, {sec}\)

\(\text { Ans }=5\)