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Question

A microscope is having objective of focal length 1 cm and eye-piece of focal length 6 cm. If tube length is 30 cm and image is formed at the least distance of distinct vision, what is the magnification produced by the microscope ? Take D=25 cm.

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Solution

By compound microscope for image formed at the least distance of distinct vision,
m=Lf0(1+Dfe) (where, length of tube L=30 cm, focal length of objective lens f0=1 cm, focal length of eye-piece fe=6 cm,D=25 cm)
=301(1+256)=30×(6+25)6
=5×31=155

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