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

The focal length is half the radius of curvature. So we divide 32 by 2 to get 16 cm.

For any spherical mirror (concave or convex), the relationship between focal length (f) and radius of curvature (R) is: f = R/2. Given: R = 32 cm for a convex mirror. Therefore, f = R/2 = 32/2 = +16 cm. For a convex mirror, the focal length is taken as positive by sign convention because the focus lies behind the mirror. Answer: The focal length is +16 cm (or 16 cm behind the mirror).