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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. If an object is kept at a distance of 5 cm from the objective, so that the final image is formed at the least distance of distinct vision 20 cm, calculate the magnification.

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
Given
u0=5cm,f0=4 cm,fe=10 cm,D=20 cm.

Applying lens formula at objective lens
1f0=1v01u0
1v0=14+15=1415=120v0=20 cm
Magnification of compound microscope at least distance of distinct vision is given by
M=v0|u0|(1+Dfe)=205(1+2010)=12

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