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Question

The magnifying power of a compound- microscope increases when ,

A
the focal length of objective lens is increased and that of eye piece is decreased
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B
the focal length of eye piece is increased and that of objective lens is decreased
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C
focal lengths of both objective and eyepiece are increased
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D
focal lengths of both objective and eyepiece are decreased
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Solution

The correct option is D focal lengths of both objective and eyepiece are decreased
Magnifying power of a compound- microscope is given by m=lf0Dfe
where, l is length of tube
D is least distance of clear vision
f0 is focal length of objective
fe is focal length of eyepiece
So, clearly, it can be seen that focal length of objective and eyepiece needs to be decreased so that magnifying power increases.

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