If a ray of light incident on a plane mirror is such that it makes an angle of `30^@` with the mirror, then the angle made by the reflected ray with the mirror is

Options

A. `30^@`
B. `45^@`
C. `55^@`
D. `60^@`

Explanation

To solve the problem, we need to determine the angle made by the reflected ray with the mirror when a ray of light is incident at an angle of \(30^\circ\) with the mirror.

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have a plane mirror.
- A ray of light is incident on the mirror at an angle of \(30^\circ\) with respect to the mirror surface.

2. **Identify the Angles**:
- The angle of incidence (\(i\)) is measured from the normal to the surface of the mirror.
- The angle of reflection (\(r\)) is also measured from the normal.

3. **Draw the Normal**:
- Draw a line perpendicular to the mirror surface; this is the normal line.
- Since the incident ray makes an angle of \(30^\circ\) with the mirror, it makes an angle of \(90^\circ - 30^\circ = 60^\circ\) with the normal.

4. **Apply the Law of Reflection**:
- According to the law of reflection, the angle of incidence is equal to the angle of reflection. Thus, we have:
\[ i = r \]

5. **Calculate the Angle of Incidence**:
- Since the angle with the normal is \(60^\circ\), we have:
\[ i = 60^\circ \]

6. **Determine the Angle of Reflection**:
- By the law of reflection, since \(i = r\):
\[ r = 60^\circ \]

7. **Find the Angle with the Mirror**:
- The angle made by the reflected ray with the mirror is:
\[ \text{Angle with mirror} = 90^\circ - r = 90^\circ - 60^\circ = 30^\circ \]

### Final Answer:
The angle made by the reflected ray with the mirror is \(30^\circ\).

---