A ray of light passes through an equilateral glass prism, such that the angle of incidence is equal to the angle of emergence. If the angle of emergence is 3/4 times the angle of prism, calculate the refractive index of the glass prism.

Explanation

To solve the problem step by step, we will follow the reasoning provided in the video transcript while ensuring clarity in each step.

### Step-by-Step Solution:

1. **Understand the Problem**: We have a ray of light passing through an equilateral glass prism. The angle of incidence (I) is equal to the angle of emergence (E). The angle of emergence is given as \( \frac{3}{4} \) times the angle of the prism (A).

2. **Identify the Angles**: Since it is an equilateral prism, the angle A (the angle of the prism) is \( 60^\circ \). Therefore, we can express the angle of emergence as:
\[
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