State the conditions under which total internal reflection occurs. One face of a prism with a refracting angle of `30^(@)` is coated with silver. A ray incident on another face at an angle of `45^(@)` is refracted and reflected from the silver coated face and retraces its path. Find the refractive index of the material of the prism.

Explanation

To solve the problem, we will follow these steps:

### Step 1: State the conditions for Total Internal Reflection (TIR)
Total Internal Reflection occurs under the following conditions:
1. The light must travel from a denser medium to a rarer medium.
2. The angle of incidence must be greater than the critical angle for the pair of media.

### Step 2: Analyze the given prism
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