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Question

Physics Question on Optical Instruments

The magnifying power of a compound microscope is high if

A

both the objective and the eyepiece has short focal lengths

B

both the objective and the eyepiece have long focal lengths

C

the objective has a short focal length and the eyepiece has a long focal length

D

the objective has a long focal length and the eyepiece has a short focal length

Answer

both the objective and the eyepiece has short focal lengths

Explanation

Solution

The magnitying power is given by M=LfoDfeM=\frac{L }{f_o} \frac{D}{f_e} for (D>>6)(D>>6) where LL: distance between objective and eyepiece DD: Least distance of distinct vision fof_o: Focal length of objective fef_e: Focal length of eyepiece