A `60^@` prism has a refractive index of `1.5`. Calculate (a) the angle of incidence for minimum deviation (b) angle of minimum deviation ( c) the angle of emergence of light at maximum deviation (d) angle of maximum deviation.

Explanation

To solve the problem step by step, we will follow the instructions provided in the video transcript.

### Step 1: Calculate the Angle of Incidence for Minimum Deviation (I1)

1. **Understanding Minimum Deviation**: In the case of minimum deviation, the angles of refraction at both faces of the prism are equal, i.e., \( r_1 = r_2 \).
2. **Using the Prism Formula**: The sum of the angles of refraction is equal to the angle of the prism:
\[
r_1 + r_2 = A
...