Question

2. What is radius of curvature of the lens?​

Answer 1

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Explanation:

In the case of a perfect concave or convex mirror, you can complete the sphere and by the definition of radius of curvature, the radius of the sphere is the same as that of the mirror. See figure below: mirror

Now, in the case of lenses. Let us consider a common biconvex lense. The lense has two surfaces unlike a mirror which has only one. Each of these surfaces can be thought of as being a segment of a sphere as shown in the below figure:

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The figure shows that the lens surfaces are part of distinct spheres and hence each surface has unique radius. Similarly, you can imagine a biconcave lens being part of two spheres.

Now, not all lenses are symmetrical like the above. the radii of lenses can be different from one another. By different variations of the radii, the following lenses can be made: lenses

PS: It is interesting to note that from the lensmaker's formula, it found that for an asymmetrical thin lens, the focal length is proportional to the ratio between the product and sum of the rad