Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A maker grinds a biconvex lens with a face radius of on the first face and on the second face. In one version the glass is flint glass of refractive index . In the other version the glass is crown glass of index . Find the focal length of each lens in air, and the power of the flint lens.
For a thin lens, and , with distances from the optical centre and positive in the direction of the light. A real object has . The lens maker's formula is .
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. , , or .
Step 1. The shape. .
Step 2. Flint glass. , so .
Step 3. Crown glass. , so .
Step 4. The power. .
Answer: , and .
Check. The denser glass bends the light more, so its focal length is shorter. The ratio of the two focal lengths is , and .
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