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The distance between the pole and focus of a spherical mirror, in terms of its radius of curvature R, is equal to:
R/2
R/4
2R
R
R/2
Relation Between Focal Length and Radius of Curvature of Spherical Mirror
f=2R⟺R=2f
Valid for both concave mirrors and convex mirrors.
Center of curvature is at distance R from pole; Focus is at distance R/2.
Define Pole and Focus
The distance between the pole (P) and the principal focus (F) of a spherical mirror is defined as its focal length (f).
Distance PF=f
Apply Radius-Focal Length Relation
For spherical mirrors with small aperture, the principal focus lies exactly midway between the pole and the center of curvature (C). Hence: f=2R
Distance =R/2
Option A is correct — R/2
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