The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens is 
cm .
Text Solution
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(16) The magnification of a thin lens is given by 
.
Given that the size of the images is equal for two different object positions, the magnitudes of the magnifications must be equal: 
.
For a single lens to produce images of the same size at two different object distances, one image must be real and the other must be virtual.
Let 
and 
.
Then, 
(since one is real and one is virtual).
.
The focal length of the lens is 16 cm .
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