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Question: Answered & Verified by Expert
In a compound microscope, the focal lengths of two lenses are 1.5 cm and 6.25 cm and an object is placed at 2 cm from objective and the final image is formed at 25 cm from eye lens. The distance between the two lenses is
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Options:
  • A 6.00 cm
  • B 7.75 cm
  • C 9.25 cm
  • D 11.00 cm
Solution:
1835 Upvotes Verified Answer
The correct answer is: 11.00 cm

f0=1.5 cm, fe=6.25 cm, u0=-2 cm, ve=-D=-25 cm

By objective lens 1f0=1v0-1u0

11.5=1v0-1-2

1v0=11.5-12 or v0=6 cm

By eyepiece 1fe=1ve-1ue

16.25=1-25-1-ue

1ue=16.25+125=425+125=15

ue=5 cm 

Length of tube =L=v0+ue=6.0cm+5.0cm

L=11 cm

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