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Question

Define the magnifying power of a compound microscope when the final image is formed at infinity. Why must both the objective and the eyepiece of a compound microscope have short focal lengths? Explain.

Solution
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Magnifying power is defined as the angle subtends at the eye by the image to the angle subtended by the object.
m=m0×me=Lf0×Dfe
To increase the magnifying power both objective and eye piece must have short focal lengths such as,
m=Lf0×Dfe

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