The angle between incident ray and reflected ray is 60°. What is the value of angle of incidence?

Options

A. 60°
B. 30°
C. 90°
D. 1200°

Answer

To solve the problem, we need to find the angle of incidence when the angle between the incident ray and the reflected ray is given as 60°.

### Step-by-Step Solution:

1. **Understand the Problem**: We are given that the angle between the incident ray and the reflected ray is 60°. We need to find the angle of incidence (i).

2. **Identify the Angles**: According to the law of reflection, the angle of incidence (i) is equal to the angle of reflection (r). This means:
\[ i = r \]

3. **Set Up the Equation**: Since the angle between the incident ray and the reflected ray is 60°, we can express this relationship as:
\[ i + r = 60° \]

4. **Substitute the Angles**: Since we know that \(i = r\), we can substitute \(r\) in the equation:
\[ i + i = 60° \]
This simplifies to:
\[ 2i = 60° \]

5. **Solve for the Angle of Incidence**: Now, divide both sides by 2 to find the angle of incidence:
\[ i = \frac{60°}{2} = 30° \]

6. **Conclusion**: The angle of incidence is therefore:
\[ \text{Angle of incidence (i)} = 30° \]

### Final Answer:
The value of the angle of incidence is **30°**.

---