A ray is incident at an angle `38^(@)` an a mirror. The angle between normal and reflected ray is

Options

A. `38^(@)`
B. `52^(@)`
C. `90^(@)`
D. `76^(@)`

Explanation

To solve the problem step by step, we will use the law of reflection which states that the angle of incidence is equal to the angle of reflection.

### Step-by-Step Solution:

1. **Understanding the Given Information**:
- The angle of incidence (i) is given as 38 degrees with respect to the mirror surface.

2. **Identifying the Normal**:
- The normal is an imaginary line that is perpendicular to the surface of the mirror.
- Since the angle of incidence is measured from the mirror surface, we need to find the angle of incidence with respect to the normal.

3. **Calculating the Angle of Incidence**:
- The angle between the mirror surface and the normal is 90 degrees.
- Therefore, the angle of incidence (i) can be calculated as:
\[ i = 90^\circ - 38^\circ = 52^\circ \]

4. **Applying the Law of Reflection**:
- According to the law of reflection, the angle of incidence is equal to the angle of reflection (r):
\[ i = r \]
- Thus, we have:
\[ r = 52^\circ \]

5. **Finding the Angle Between Normal and Reflected Ray**:
- The angle between the normal and the reflected ray is the angle of reflection (r), which we found to be 52 degrees.

### Final Answer:
The angle between the normal and the reflected ray is **52 degrees**.

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