A ray of light passing through an equilateral triangular glass prism from air undergoes minimum deviation when angle of incidence is `(3)/(4) th` of the angle of prism. Calculate speed of light in prism.

Explanation

To solve the problem step by step, we will follow the logical flow of the concepts involved in the refraction of light through a prism.

### Step 1: Understand the Geometry of the Prism
The prism is an equilateral triangle, which means each angle is 60 degrees. Let's denote the angle of the prism as \( A = 60^\circ \).

### Step 2: Determine the Angle of Incidence
According to the problem, the angle of incidence \( I \) is \( \frac{3}{4} \) of the angle of the prism. Therefore, we can calculate \( I \):
\[
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