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If angle θ between two mirrors is such that n = 360θ\dfrac{360}{θ} is odd and the object is placed asymmetrically between the mirrors, then the number of images formed is:

  1. n + 1
  2. n + 2
  3. n - 1
  4. n

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Answer

n

Reason — There are two cases possible:

Case 1 — If angle θ° between the mirrors is such that n=360°θ°n = \dfrac{360\degree}{\theta\degree} is odd:

  1. the number of images is n, when the object is placed asymmetrically between the mirrors.
  2. the number of images is n - 1, when the object is placed symmetrically (i.e., on the bisector of the angle) between the mirrors.

Case 2 — If n=360°θ°n = \dfrac{360\degree}{\theta\degree} is even, the number of images is always n - 1 for all positions of object in between the mirrors.

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