Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Mr Okafor cannot see clearly any object that is nearer than . He wants to read a newspaper held at . Find the power of the thin lens that he needs if it sits right at his eye. Then find the power that he needs if the lens is in spectacles that sit in front of his eye.
A thin lens at the eye must make the object look as if it were at the near point or the far point of the eye. Short sight: and . Long sight: . The power in dioptre is with in metre.
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. , the newspaper at , the lens at or at from the eye.
Plan. The lens must form a virtual image of the newspaper at his near point.
Step 1. The lens at the eye. and . . So .
Step 2. The spectacles. The lens is from the eye. So and .
Step 3. The power. . So .
Answer: at the eye and in spectacles.
Watch out. A lens in spectacles must be a little stronger than a lens at the eye for long sight. For short sight it is a little weaker in size. The distances are measured from the lens, not from the eye.
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