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Question

A lens of focal lengths 20cm produces a real image of a stationary object having magnification 2. Find the distance by which the lens should be moved so that it produces a virtual image of the same magnification.

A
10cm
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B
20cm
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C
15cm
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D
40cm
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Solution

The correct option is B 20cm

Magnification=ffd0 where;

f=focal length of lens and d0= distance between lens and object

Since the lens is producing a real image, M is negative

2=2020d0

Thus, d0=30cm

For virtual image, the magnification is positive

2=2020d0

Thus, d0=10 cm

Hence, lens must be moved by 3010=20cm


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