A converging lens that for which f = 55mm forms an image 4 times larger than the object. How far is the object if the image is virtual?
The general formula for a converging (convex) lens is
------------------------------ (1)
Where
is
the object distance
is
the image distance and
is
the focal length.
Given 
Here the image is virtual. This is because the object distance is smaller than the focal length.
It is given that the linear magnification
.
That is


Substituting all these in equation (1), we will get

That is

Or


A converging lens that for which f = 55mm forms an image 4 times larger than...
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