Physics - Geometrical Optics Question with Solution | TestHub

Liquid and prism 1 both have $\mu =\sqrt{3}$, so the ray enters prism 1 undeviated

Faces AB and CD are both perpendicular to AC, hence parallel; zero deviation means emergent angle $e=i$

At face AC: $\sqrt{3}\cos i=\sqrt{2}\sin r$

At face CD: $\sqrt{2}\cos r=\sin i$

Squaring and adding: ${\sin }^{2}i+3{\cos }^{2}i=2$, so ${\cos }^{2}i=\frac{1}{2}$

$i=45°$. Answer: (A)