GS2 PS #3

[yjj8817]

3) Two compound microscopes A and B were compared. Both had objectives and eyepieces with the same magnification but A gave an overall magnification that was greater than that of B. Which of the following is a plausible explanation?

1. The distance between objective and eyepiece in A is greater than the corresponding distance in B.
2. The distance between objective and eyepiece in A is less than the corresponding distance in B.
3. The eyepiece and objective positions were reversed in A.
4. The eyepiece and objective positions were reversed in B.

The answer is 1. I'm having a hard time figuring out this one. Does a greater distance between objective and eyepiece allow the image distance to increase, therefore the entire magnification since the magnification is
-i/o?

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[Cawolf]

The linear magnification of a compound microscope is approximated by L/f0.

You are correct though.

The final image is at a distance of infinity, so the real image (from the objective lens) is at a distance of L (fe to f0) - fe.

So the larger L is, the more overall magnification we see in the final image.