If the angles of minimum deviation when a prism of angle \(80^\circ\) is placed separately in air and in a liquid are \(40^\circ\) and \(10^\circ\) respectively, then the refractive index of the liquid is
Show Hint
For a prism at minimum deviation,
\[
\boxed{
\mu
=
\frac{\sin\left(\frac{A+\delta_m}{2}\right)}
{\sin\left(\frac{A}{2}\right)}.
}
\]
When immersed in a liquid,
\[
\boxed{
\mu_{\text{relative}}
=
\frac{\mu_{\text{prism}}}{\mu_{\text{liquid}}}.
}
\]