Aray of light falls on one side of a prism whose refracting angle is `75^@`. Find the angle of incidence in order that the emergent ray may just graze the other side, (`mu = sqrt(2)`)

Explanation

To solve the problem of finding the angle of incidence for a ray of light falling on a prism with a refracting angle of \(75^\circ\) such that the emergent ray just grazes the other side, we can follow these steps:

### Step 1: Understand the condition for grazing
The emergent ray grazing the other side of the prism means that the angle of refraction at the second surface of the prism is \(90^\circ\). This is because a ray grazing the surface will not enter the medium beyond the prism.

### Step 2: Use the concept of critical angle
The angle of refraction being \(90^\circ\) indicates that the angle of incidence at the second surface must be equal to the critical angle. The critical angle \(C\) can be calculated using the formula:
\[
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