1. Tardigrade
  2. Question
  3. Physics
  4. A prism ABC of angle 30° has its face AC silvered. A ray of light incident at an angle of 45° at the face AB retraces its path after refraction at face AB and reflection at face AC. The refractive index of the material of the prism is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A prism $ABC$ of angle $30^{\circ}$ has its face $AC$ silvered. A ray of light incident at an angle of $45^{\circ}$ at the face $AB$ retraces its path after refraction at face $AB$ and reflection at face $AC$. The refractive index of the material of the prism isPhysics Question Image

Solution:

$A = r + 0 \Rightarrow r = 30^{\circ}$
image
$\mu = \frac{\sin\,i}{\sin\,r} =\frac{\sin\,45^{\circ}}{\sin\,30^{\circ}} = \sqrt{2}$