An incident ray strikes a plane mirror at an angle of `15^@` with the mirror. The angle between the incident ray and reflected ray is

Options

A. `15^@`
B. `30^@`
C. `150^@`
D. none of these

Explanation

To solve the problem of finding the angle between the incident ray and the reflected ray when the incident ray strikes a plane mirror at an angle of `15°`, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- The incident ray strikes the plane mirror at an angle of `15°` with respect to the mirror surface.

2. **Identify the Angle with the Normal**:
- The angle of incidence (i) is measured with respect to the normal (a line perpendicular to the mirror surface).
- Since the angle between the incident ray and the mirror surface is `15°`, the angle between the incident ray and the normal can be calculated as:
\[ i = 90° - 15° = 75° \]

3. **Apply the Law of Reflection**:
- According to the law of reflection, the angle of incidence (i) is equal to the angle of reflection (r).
- Therefore, we have:
\[ r = i = 75° \]

4. **Calculate the Angle Between the Incident Ray and the Reflected Ray**:
- The angle between the incident ray and the reflected ray is the sum of the angle of incidence and the angle of reflection:
\[ \text{Angle between incident ray and reflected ray} = i + r = 75° + 75° = 150° \]

5. **Final Answer**:
- The angle between the incident ray and the reflected ray is `150°`.

### Summary:
The angle between the incident ray and the reflected ray is `150°`.

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