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Question

A compound microscope has an eye piece of focal length 10 cm and an objective of focal length 4 cm. Calculate the magnification, if an object is kept at a distance of 5 cm from the objective so that final image is formed at the least distance vision (20 cm).

A
12
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B
11
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C
10
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D
13
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Solution

The correct option is A 12
For final image formed at near point,

Magnification of the compound microscope

m=m0(1+Dfe)

m0 is the magnification of the objective lens given by
m0=ff+u=445
=4

1+Dfe=1+2010=3

So net magnification m=4×3=12

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