Question

Find the focal length of a convex mirror whose radius of curvature is 32 cm.

Answer 1

Radius of curvature, R = 32 cm 
Radius of curvature = 2 × Focal length (f) 
R = 2 f
\(f=\frac{R}{2}\)
\(=\frac{32}{2}=16\) cm
Hence, the focal length of the given convex mirror is 16 cm.

Answer 2

The focal length f of a mirror is related to its radius of curvature R by the formula:
\(f = \frac{R}{2}\)

For a convex mirror, the focal length is positive. Given that the radius of curvature R is 32 cm, we can find the focal length using the formula:
\(f = \frac{32 \text{ cm}}{2} = 16 \text{ cm}\)
Therefore, the focal length of the convex mirror is 16 cm.

So, the correct answer is 16cm.