A ray of light incident on the horizontal surface of a glass slab at an angle of incidence ‘i’just grazes the adjacent vertical surface after reflection. Compute the critical angle and refractive index of glass

Explanation

To solve the problem, we need to derive the critical angle and the refractive index of the glass slab based on the given conditions. Here’s the step-by-step solution:

### Step 1: Understanding the Situation
We have a glass slab where a ray of light is incident at an angle \(i\) on the horizontal surface. After reflection, the ray just grazes the adjacent vertical surface. This means that the angle of incidence at the vertical surface is equal to the critical angle \(c\) for total internal reflection.

### Step 2: Applying Snell's Law
When the light ray travels from air (refractive index \(n_1 = 1\)) into glass (refractive index \(n_2 = \mu\)), we can apply Snell's law:
\[
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