The face AC of the prism ABC of refracting angle `30^@` and refractive index square root 2 is silvered. A ray of light, after refraction from face AB, strike the face AC at `90^@`. Find the angle of incidence and path traced by the ray after reflecting from the silvered surface.

Explanation

To solve the problem, we will follow a step-by-step approach:

### Step 1: Understand the Problem
We have a prism ABC with a refracting angle of \(30^\circ\) and a refractive index of \(\sqrt{2}\). The face AC is silvered, meaning it acts as a mirror. A ray of light strikes face AB and refracts, then strikes face AC at \(90^\circ\).

### Step 2: Draw the Ray Diagram
1. Draw the prism ABC.
2. Label the vertices A, B, and C.
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