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Question: A compound microscope has a magnifying power of 100 when the image is formed at infinity. The object...

A compound microscope has a magnifying power of 100 when the image is formed at infinity. The objective has a focal length of 0.5 cm and the tube length is 6.5 cm, then the focal length of the eye-piece is –

A

0.2 cm

B

2.5 cm

C

2 cm

D

4.0 cm

Answer

2 cm

Explanation

Solution

L = vo + fe = 6.5 cm, fo = 0.5 cm

vo = (6.5 –fe)

…..(1)

 2fe = 6 – fe

fe=2 cm\mathrm { f } _ { \mathrm { e } } = 2 \mathrm {~cm}