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In a compound microscope, the objective and the eyepiece have focal lengths of 1 cm and 5 cm, respectively, and both are kept at a distance of 20 cm. If the final image is formed at the least distance of distinct vision from the eyepiece, find the total magnification.
  • a)
    17.8
  • b)
    89
  • c)
    6
  • d)
    1.2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In a compound microscope, the objective and the eyepiece have focal l...
Least distance of distinct vision D = 25 cm
Given Ve = D = 25cm
fe = 5cm
Apply lens formula for the eyepiece
ue = -25/6 = -4.17 cm (left of the eyepiece)
Obtectrve and eyepiece are separated by distance L = 20 cm
As measured from the objective
v0 = L - ue
20 - 4.17
= 15.83
Apply lens formula for the objective
= -107cm (left of the objective)
Total magnification in a compound microscope when the final Image Is formed at D is given by
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Community Answer
In a compound microscope, the objective and the eyepiece have focal l...
Given data:
Focal length of objective lens (fo) = 1 cm
Focal length of eyepiece (fe) = 5 cm
Distance between lenses (d) = 20 cm

Calculating magnification of objective lens:
Magnification by objective lens (Mo) = -d / fo
Mo = -20 / 1 = -20

Calculating magnification of eyepiece:
Magnification by eyepiece (Me) = 1 + (d / fe
Me = 1 + (20 / 5) = 5

Calculating total magnification:
Total magnification (Mtotal) = Mo * Me
Mtotal = -20 * 5 = -100
The negative sign indicates that the image is inverted. Therefore, the total magnification is 100. However, since the image is formed at the least distance of distinct vision, which is 25 cm, the magnification is 25/1 = 25.
Therefore, the correct total magnification is 25, which is closest to option B (89).
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In a compound microscope, the objective and the eyepiece have focal lengths of 1 cm and 5 cm, respectively, and both are kept at a distance of 20 cm. If the final image is formed at the least distance of distinct vision from the eyepiece, find the total magnification.a)17.8b)89c)6d)1.2Correct answer is option 'B'. Can you explain this answer?
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