A ray of light falling at an angle of `50^@` is refracted through a prism and suffers minimum deviation. The angle of the prism is `60^@`. Find the angle of minimum deviation and refraction index of the material of the prism.

Explanation

To solve the problem step by step, we will follow the principles of optics related to prisms and the concept of minimum deviation.

### Step 1: Understand the Problem
We have a prism with an angle \( A = 60^\circ \) and a ray of light that is incident at an angle \( i = 50^\circ \). The ray suffers minimum deviation, which means the angle of incidence and the angle of emergence are equal.

### Step 2: Establish the Relationship for Minimum Deviation
In the case of minimum deviation, the relationship between the angle of the prism \( A \), the angle of minimum deviation \( D_{min} \), and the angles of incidence \( i \) and emergence \( e \) is given by:
\[
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