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Question

A diverging lens with magnitude of focal length 25cm is placed at a distance of 15cm from a converging lens of magnitude of focal length 20cm. A beam of parallel light falls on the diverging lens. The final image formed is

A
Real and at a distance of 6cm from the convergent lens.
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B
Real and at a distance of 40cm from the convergent lens.
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C
Virtual and at a distance of 40cm from the convergent lens.
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D
Real and at a distance of 40cm from the divergent lens.
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Solution

The correct option is B Real and at a distance of 40cm from the convergent lens.
For concave lens,

1f1=1V11u1

125=1V11

V1=25 cm

This image acts as an object for convex lens placed at 40 cm from its principle axis.

For convex lens

1f2=1V21u2

120=1V21(40)

120=1V2+140

1V2=120140

V2=40 cm


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