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The radius of the curvature of a spherical mirror is $24 cm$ . What is the focal length?

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12 cm

24 cm

36 cm

None of the above

answer is A.

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Detailed Solution

The focal length is

12 cm

.
Given,
Radius of curvature,

R = 24 cm

It is known that “the focal length is half of the radius of the curvature of the mirror.” Mathematically, it can be written as

f = R / 2

where

f

is the focal length and

R

is the radius of the curvature of the mirror.
On substituting the given value of the radius of curvature, we get

\Rightarrow f = 24 / 2

\Rightarrow f = 12 cm

Hence, the focal length of the mirror is

12 cm

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