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 11Given : fo=2 cm fe=5 cm uo=−3 cm ve=−50 cm Applying lens formula for objective lens, 1fo=1vo−1uo ⇒12=1vo−1(−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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