A convex lens of focal length 'f' produces a real image whose size is 'm' times the size of an object. The distance of the image from the lens, 'v', is given by

Step-by-step solution

For a convex lens forming a real image, the magnification is negative. M = v u = -m u = - v m Using the lens formula: 1 v - 1 u = 1 f Substituting the value of u : 1 v - (- m v ) = 1 f 1 v + m v = 1 f 1+m v = 1 f v = f(m+1) Answer: f(m+1)