On the basis of the relation among u,v and f of a spherical mirror determine the nature, position and size of the image of an object formed by a plane mirror.

Explanation

The radius of curvature of a plane mirror, `r = oo ,` so, its focal length, `f = ( r )/(2) = oo.`
From the relation of a spherical mirror,
`(1)/(v)+(1)/(u) = (1)/(f) =(1)/(oo)=0 or, (1)/(v) = -(1)/(u) or, v = -u`
The negative sign indicates that the image is formed behind the mirror as the object in front of the mirror and it is virtual in nature.
Again the values of u and v are equal, so, object distance from the mirror = image distance.
Magnification of the image , `m=(v)/(u) = 1, i.e.,` the size of the object and image are equal.