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Question

Three mirrors are created from a single sphere. Which of the following - pole, centre of curvature, radius of curvature, principal axis - will be common to them and which will not be common?

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Solution

Let us name the mirrors as M1, M2 and M3 as shown below.

From the figure, we see that

  • pole (P) is not common
  • centre of curvature (C) is common
  • principal axis (PA) is not common
  • radius of curvature (R) is common. Radius of curvature is the radius of the sphere. In the given figure, length CP is same for all mirrors.

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