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If R is the radius of curvature of a spherical mirror and f is its focal length, then:(a) R = $f$ (b) R = 2$f$ (c) R = $\frac{f}{2}$ (d) R = 3$f$
(b) R = 2$f$
Explanation
The radius of curvature is the distance from the vertex to the centre of curvature, which is represented by $'R'$. It is the radius of the sphere from which the mirror was cut. Finally, the distance from the mirror to the focal point is known as the focal length, which is represented by $'f'$.
Since the focal point is the midpoint of the line segment adjoining the vertex and the centre of curvature, the focal length would be half the radius of curvature or the radius of curvature would be equal to twice the focal length.
Mathematically it is given as-
$f=\frac{1}{R}$ or $R = 2f$
Updated on: 10-Oct-2022
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