A ray of light incident at an angle of incidence `48^(@)` on a prism of refracting angle `60^(@)` suffers minimum deviation. Calculate the angle of minimum deviation.

Answer

To solve the problem of finding the angle of minimum deviation for a ray of light incident on a prism, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the given values**:
- Angle of incidence (i) = 48°
- Angle of the prism (A) = 60°

2. **Recall the formula for deviation**:
- The formula for the angle of deviation (Δ) is given by:
\[ \Delta = i + e - A \]
where \( e \) is the angle of emergence.

3. **Apply the condition for minimum deviation**:
- For minimum deviation, the angle of emergence (e) is equal to the angle of incidence (i). Therefore:
\[ e = i = 48° \]

4. **Substitute the values into the deviation formula**:
- Now substitute \( i \), \( e \), and \( A \) into the deviation formula:
\[ \Delta_{min} = i + e - A \]
- This becomes:
\[ \Delta_{min} = 48° + 48° - 60° \]

5. **Calculate the minimum deviation**:
- Perform the arithmetic:
\[ \Delta_{min} = 96° - 60° = 36° \]

6. **Final Result**:
- Therefore, the angle of minimum deviation is:
\[ \Delta_{min} = 36° \]