Focal length of a convex mirror is `50 cm`. What is its radius of curvature?

Explanation

To find the radius of curvature of a convex mirror when its focal length is given, we can use the relationship between the focal length (f) and the radius of curvature (R). The formula is:

\[ R = 2f \]

### Step-by-Step Solution:

1. **Identify the Focal Length**:
The focal length (f) of the convex mirror is given as 50 cm.

2. **Apply the Formula**:
We use the formula for the radius of curvature:
\[ R = 2f \]

3. **Substitute the Value of Focal Length**:
Substitute the given focal length into the formula:
\[ R = 2 \times 50 \, \text{cm} \]

4. **Calculate the Radius of Curvature**:
Perform the multiplication:
\[ R = 100 \, \text{cm} \]

5. **State the Final Answer**:
Therefore, the radius of curvature of the convex mirror is 100 cm.

### Final Answer:
The radius of curvature of the convex mirror is **100 cm**.