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AP EAMCET · PHYSICS · Ray Optics

In a compound microscope, the focal lengths of two lenses are \(1.5 \mathrm{~cm}\) and \(6.25 \mathrm{~cm}\). An object is placed at \(2 \mathrm{~cm}\) from the objective and the final image is formed at \(25 \mathrm{~cm}\) from the eye lens. The distance between the two lenses is .............. (in \(\mathrm{cm}\) ).

  1. A 6
  2. B 7.75
  3. C 9.25
  4. D 11
Verified Solution

Answer & Solution

Correct Answer

(D) 11

Step-by-step Solution

Detailed explanation

For, objective, \( u=-2 \mathrm{~cm}, f=1.5 \mathrm{~m} \) By \(\frac{1}{v}-\frac{1}{u}=\frac{1}{f}\), we have, \( \frac{1}{v}=\frac{1}{1.5}-\frac{1}{2} v=6 \mathrm{~cm} \) For eyepiece, \( v=-25 \mathrm{~cm}, f=6.25 \mathrm{~cm} \)…
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