Question

Find the focal length of a convex mirror whose radius of curvature is
32 cm.
or produces three times​

Answer 1

Answer:

Radius of curvature = 2× focal length

2 × Focal length = 32

Focal Length = 16cm negative

Answer 2

Given :

In convex mirror,

Radius of curvature = 32 cm

To find :

The focal length of the given mirror

Solution :

» For a spherical mirror having small aperture, the principle focus lies exactly mid way between the pole and centre of curvature. So, the focal length of a spherical mirror is equal to the half of its radius of curvature.

if f is the focal length of a mirror and R is its radius of curvature, then f = R/2

by substituting the given values in the formula,

$\dashrightarrow \sf f = \dfrac{R}{2}$

$\dashrightarrow \sf f = \dfrac{32}{2}$

$\dashrightarrow \sf f = 16 \: cm$

Thus, the focal length of the following mirror is 16 cm