Question

If the focal length of a spherical mirror is 10 cm, what is the value of radius of curvature?

• A. 10 cm
• B. 20 cm
• C. 30 cm
• D. None

Answer 1

The Correct Option is B

To solve the problem, we need to find the radius of curvature of a spherical mirror when the focal length is given.

1. Relationship Between Focal Length and Radius of Curvature:
The focal length ($f$) and the radius of curvature ($R$) of a spherical mirror are related by the formula:
$ f = \frac{R}{2} $

2. Given Information:
The focal length $f = 10$ cm.

3. Finding the Radius of Curvature:
Using the formula $ f = \frac{R}{2} $, we can find $R$:

$ 10 = \frac{R}{2} $

$ R = 10 \times 2 = 20 \, \text{cm}$

Final Answer:
The radius of curvature is $ {20 \, \text{cm}} $