Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A reading lens is marked D. A person adds a weak lens of D, held in contact with it, to see a page more clearly at arm's length. Find the focal length of the D lens by itself, then the power and the focal length of the two lenses together.
The power is , with in metre and in dioptre. Lenses in contact: . Lenses a distance apart: , with in metre. The back focal distance is . For two lenses one after the other, the image of the first is the object of the second, and .
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.
Step 1. The first lens. .
Step 2. The pair. .
Step 3. Its focal length. .
Answer: , and .
Check. The concave lens cancels half of the power of the convex lens, so the focal length doubles.
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