An object is placed at a distance of 1.5 m from a screen and a convex lens is interposed between them. The magnification produced is 4. What is the focal length of the lens.

3 answers

M= -di/do

solve for di.

then
1/f=1/di+1/do solve for f
m = 4
= v/u =4
v = 4u
then,
1/f = 1/v - 1/u
substitute v with 4u,
1/f = 1/4u - 1/u
1/f = 1/4u - 4/4u
1/f = -3/4u
=f=-4u/3
total dist,
u + 4u = 1.5 * 100 (m-cm)
5u = 150
u = 150/5 = 30cm

substituting u in -4u/3

-4 * 30/3
-120/3 = -40cm

hope so you got it
this might be the ans
but the answer of this question in my guide is something else...not at all related to the one answered above