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Wave Optics

Question
CBSEENPH12039370

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 has short focal lengths? Explain.

Solution

Magnifying power is defined as the angle subtended at the eye by the image
to the angle subtended (at the unaided eye) by the object.
straight m space equals space straight m subscript straight o space straight x space straight m subscript straight e space equals space straight L over straight f subscript straight o space straight x straight D over straight f subscript straight e

To increase the magnifying power both the objective and eyepiece must have short focal lengths such as straight m space space equals space straight L over straight f subscript straight o space straight x straight D over straight f subscript straight e 

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