A ray of light is incident on a convex mirror at angle of incidence of `40^@`. What is the ratio of angle of reflection to the angle of incidence?

Options

A. 1
B. `gt 1`
C. `lt 1`
D. `oo`

Answer

To solve the problem, we need to find the ratio of the angle of reflection (r) to the angle of incidence (i) when a ray of light strikes a convex mirror.

### Step-by-Step Solution:

1. **Identify the given values**:
- The angle of incidence (i) is given as \(40^\circ\).

2. **Understand the law of reflection**:
- According to the law of reflection, the angle of incidence (i) is equal to the angle of reflection (r). This can be expressed mathematically as:
\[ i = r \]

3. **Calculate the angle of reflection**:
- Since \(i = r\), we can substitute the value of \(i\) into the equation:
\[ r = 40^\circ \]

4. **Find the ratio of angle of reflection to angle of incidence**:
- The ratio of the angle of reflection (r) to the angle of incidence (i) can be calculated as:
\[ \text{Ratio} = \frac{r}{i} = \frac{40^\circ}{40^\circ} = 1 \]

5. **Conclusion**:
- The ratio of the angle of reflection to the angle of incidence is \(1\).

### Final Answer:
The ratio of the angle of reflection to the angle of incidence is \(1\).

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