The image formed by a convex mirror of focal length 30 ~cm is a quarter of the size of the object. The distance of the object from the mirror is

Step-by-step solution

Focal length, f=30 ~cm aligned & m = - v u = 1 4 & u =-4 v & 1 f = 1 v + 1 u = 1 v - 1 4 v = 4-1 4 v & 1 f = 3 4 v & f = 4 v 3 ; 30 3 4 = v & u = -4 30 3 4 =-90 ~cm aligned