In a diagram,show the following for both a convex mirror and a concave mirror:
$(i)$ Principal axis
$(ii)$ Pole
$(iii)$ Focus
$(iv)$ Centre of curvature
$(v)$ Radius of curvature

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(N/A) The diagram illustrates the key components of spherical mirrors:
$1$. Principal axis: The straight line passing through the pole and the centre of curvature of a spherical mirror.
$2$. Pole $(P)$: The centre of the reflecting surface of a spherical mirror.
$3$. Focus $(F)$: The point on the principal axis where light rays parallel to the principal axis converge (in a concave mirror) or appear to diverge (in a convex mirror) after reflection.
$4$. Centre of curvature $(C)$: The centre of the sphere of which the reflecting surface of the spherical mirror forms a part.
$5$. Radius of curvature $(R)$: The radius of the sphere of which the reflecting surface of the spherical mirror forms a part. It is the distance between the pole $(P)$ and the centre of curvature $(C)$.

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$(a)$ Define radius of curvature and focal length of a spherical mirror and show it on a figure.
$(b)$ Write the relation between the radius of curvature and the focal length of a spherical mirror.

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