Refraction by Plane Surfaces: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Refraction by Plane Surfaces. Understanding the underlying formula is key to arriving at the correct answer below:

By Snell's law, $1 \times \sin(60^\circ) = \sqrt{3} \times \sin(r)$, which gives $\sin(r) = 1/2$, so angle of refraction $r = 30^\circ$.
By law of reflection, angle of reflection is equal to angle of incidence $i = 60^\circ$.
Angle between reflected and refracted rays is $180^\circ - (i + r) = 180^\circ - (60^\circ + 30^\circ) = 90^\circ$.