Looking for classes? Ksquare Career Institute, Bengaluru →
Find the value of the angle of emergence from the prism. Refractive index of the glass is $\sqrt{3}$.
A
$30^\circ$
B
$45^\circ$
C
$90^\circ$
D
$60^\circ$
Detailed Solution
The ray enters normally, so $r_1 = 0^\circ$. Prism angle A = $30^\circ$, so $r_2 = A - r_1 = 30^\circ$.
Snell's law at the second face: $\sqrt{3}\sin 30^\circ = 1 \times \sin e$
$\sin e = \frac{\sqrt{3}}{2} \Rightarrow e = 60^\circ$
Snell's law at the second face: $\sqrt{3}\sin 30^\circ = 1 \times \sin e$
$\sin e = \frac{\sqrt{3}}{2} \Rightarrow e = 60^\circ$