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A plano-convex lens of focal length 10   cm is silvered at its plane face. The distance d at which an object must be placed in order to get its image on itself is

Options

  1. A5   cm
  2. B20   cm
  3. C10   cm
  4. D2 . 5   cm

Correct answer

C. 10   cm

Step-by-step solution

If the object and the image coincide in the shown combination in the question, it will behave like a converging mirror. So, applying mirror formula to the combination 1 f = 1 v + 1 u     . . . 1 where, u ,   v are the positions of the object and image, respectively and f is the focal length. Here, u = v = - d , Hence, substituting in equation ( 1 ) , 1 f = 1 - d + 1 - d = - 2 d For the combination, 1 f = 2 f l + 1 f m     . . . 2 where, f l ,   f m are the focal lengths of the lens and

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