Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A collector looks at a stamp through a magnifying glass of focal length . Find the magnifying power when the image is at the near point, . Find it when the image is at infinity. Find the distance of the stamp from the lens for the first case.
Simple microscope: (image at the near point) and (image at infinity), with . Compound microscope: , with . For the final image at infinity, and the lenses are apart.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. and .
Step 1. The image at the near point. .
Step 2. The image at infinity. .
Step 3. The distance. . So .
Answer: , and .
Check. . The stamp is a little closer than the focus, , as it should be.
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