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Question

A compound microscope has an objective of focal length 2 cm and an eye-piece of focal length 6.25 cm,which are separated by 15 cm.If the final image is formed at the least distance of distinct vision 25 cm, distance to the object from the objective is

A

20 cm

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B

8.75 cm

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C

1.50 cm

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D

2.5 cm

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Solution

The correct option is C 8.75 cm
Objective distance
$| U_{e} | = f_{e} = 6.25 c m$
Image distance from objective lens
$| V_{o} | = (15 - 6.25) c m$
$= 8.75 c m$
Hence option (B) is correct answer

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