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 can follow these steps:

### Step 1: Understand the concept of Total Internal Reflection (TIR)
Total Internal Reflection occurs when light attempts to move from a denser medium to a less dense medium, and the angle of incidence exceeds the critical angle. The critical angle can be calculated using the formula:
\[ \theta_c = \sin^{-1}\left(\frac{1}{\mu}\right) \]
where \( \mu \) is the refractive index of the denser medium relative to the less dense medium.
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