A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer we…

A plano-convex lens of unknown material and unknown focal length is given. With the help of a spherometer we can measure the
  1. focal length of the lens
  2. radius of curvature of the curved surface
  3. aperture of the lens
  4. refractive index of the material

Solution

A spherometer is a device that does just as the name suggests: it measures a sphere. But what exactly would you measure on a sphere? You could measure its diameter or the circumference of a great circle, the surface area, or the radius. But all of these measurements will change proportionally to the radius R of the sphere. Any surface that is curved has a radius of curvature, the radius of the sphere that approximates the surface locally. Thus, a spherometer can measure the radius of curvature of an item such as a lens and curved mirrors that are spherical.

Asked in: NEET 2020 (Phase 2)

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