Question

If the radius of curvature of a spherical mirror is 16 cm, then the focal length of the mirror is:

• A. 8 cm
• B. 16 cm
• C. 32 cm
• D. 64 cm

Hint:

For spherical mirrors, the focal length is half the radius of curvature.

Answer 1

The Correct Option is A

Step 1: Formula for Focal Length.
The focal length (\( f \)) of a spherical mirror is related to the radius of curvature (\( R \)) by the formula: \[ f = \frac{R}{2} \] Step 2: Substituting the Given Value.
Given that the radius of curvature \( R = 16 \, \text{cm} \), we can substitute this into the formula: \[ f = \frac{16}{2} = 8 \, \text{cm} \] Step 3: Conclusion.
Hence, the focal length of the mirror is 8 cm.