A ray of light falls on a transparent glass slab of refractive index `1.62`. If the reflected ray and the refracted rays are mutually perpendicular, what is the angle of refraction ?

Explanation

To solve the problem, we need to find the angle of refraction (R) when a ray of light falls on a transparent glass slab with a refractive index (μ) of 1.62, and the reflected ray and refracted ray are mutually perpendicular.

### Step-by-Step Solution:

1. **Understanding the Geometry**:
- When the light ray strikes the glass slab, it is incident at an angle \( I \).
- According to the law of reflection, the angle of reflection is also \( I \).
- The angle between the reflected ray and the refracted ray is given to be 90 degrees.
...