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Question

# In a compound microscope, the focal length of the objective lens is 1.2 cm and the focal length of the eyepiece is 3 cm. When the object is kept at 1.25 cm in front of the objective lens, the final image is formed at infinity. The magnifying power of the compound microscope is -

A
400
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B
200
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C
150
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D
100
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Solution

## The correct option is B 200Given: fo=1.2 cm fe=3 cm uo=−1.25 cm Using lens formula for objective lens, 1vo−1uo=1fo ⇒1vo−1(−1.25)=11.2 ⇒vo=30 cm Now, magnifying power of the compound microscope when the final image is formed at infinity, m=vo|uo|(Dfe) ⇒m=301.25(253)=200 Hence, option (B) is the correct answer.

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