Q 12-09-114JEE MainJEE Main 2023 (15 Apr, Shift 1)Easy
The refractive index of a transparent liquid filled in an equilateral hollow prism is $\sqrt2$. The angle of minimum deviation for the liquid will be ______ $^\circ$.
Numerical value type. Enter your answer.
Answer: 30
$$\mu=\frac{\sin\frac{A+\delta_m}{2}}{\sin\frac A2}\ \Rightarrow\ \sin\frac{60^\circ+\delta_m}{2}=\sqrt2\times\frac12=\frac1{\sqrt2}$$
$\dfrac{60^\circ+\delta_m}{2}=45^\circ\Rightarrow\delta_m=30^\circ$.
Solution by Sreeraj P, M.Sc Physics