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Q.

If the focal length of a spherical mirror is 12.5 cm, what will be its radius of curvature?


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a

25 cm

b

15 cm

c

20 cm

d

35 cm 

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Detailed Solution

If the focal length of a spherical mirror is 12.5 cm, its radius of curvature will be 25 cm.
Focal length (f) is the distance from the mirror at which the light rays coming parallel from infinity meet.
The Radius of Curvature R is defined as the radius of the sphere of which the mirror is a part.
Given,
Focal length of the spherical mirror = 12.5 cm
Focal length and the radius of curvature are related as follows:
f=R2
The radius of curvature, R=2×f
=> R=2×12.5
=> R=25 cm
   
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If the focal length of a spherical mirror is 12.5 cm, what will be its radius of curvature?