If the focal length of the objective lens is increased, then the magnifying power of -

compound microscope will increase, but that of telescope will decrease.

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both compound microscope and telescope will increase.

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both compound microscope and telescope will decrease.

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compound microscope will decrease, but that of telescope will increase.

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Solution

The correct option is D compound microscope will decrease, but that of telescope will increase.
For a compound microscope, $m \propto \frac{1}{f_{o}}$ and for a telescope, $m \propto f_{o}$

Therefore, if the focal length of the objective lens is increased, then the magnifying power of compound microscope will decrease, but that of telescope will increase.

Hence, option $(D)$ is the correct answer.

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