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Question

In a compound microscope, the focal length of the objective lens is 2 cm and that of the eyepiece is 5 cm. When the object is kept at 3 cm in front of the objective lens, the final image is formed at a distance of 50 cm from the eyepiece. Magnifying power of the compound microscope is -

A
14
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B
11
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C
16
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D
18
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Solution

The correct option is B 11
Given :
fo=2 cm
fe=5 cm
uo=3 cm
ve=50 cm

Applying lens formula for objective lens,

1fo=1vo1uo

12=1vo1(3)

vo=6 cm

The general formula for magnifying power of compound microscope is,

m=vo|uo|(D|ve|+Dfe)

m=63×(2550+255)=11

Hence, option (B) is the correct answer.

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