Consider the situation shown in figure. Find the maximum angle theta for which the light suffers total internal reflection at the vertical surface.

Explanation

To solve the problem of finding the maximum angle \( \theta \) for which light suffers total internal reflection at the vertical surface, we will follow these steps:

### Step-by-Step Solution:

1. **Understand Total Internal Reflection**:
Total internal reflection occurs when light travels from a medium with a higher refractive index to a medium with a lower refractive index. The critical angle \( C \) is the angle of incidence above which total internal reflection occurs.

2. **Calculate the Critical Angle**:
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