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JEE Main20231 Feb 2023Evening ShiftPhysicsRay OpticsActual

Two objects A a n d B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm . The distance between images formed by the mirror is:

Options

  1. A40   cm
  2. B60   cm
  3. C160   cm
  4. D100   cm

Correct answer

C. 160   cm

Step-by-step solution

Let's consider the following diagram- Let's assume that v A ,   v B indicates the distances of the images of objects A and B respectively. Thus, by mirror formula, for object A, it can be written that 1 v + 1 u = 1 f 1 v A + 1 - 15 = 1 - 20 1 v A = 1 - 20 + 1 15 = - 3 + 4 60 v A = 60   cm Similarly, for object B, using mirror formula, 1 v B + 1 - 25 = 1 - 20 1 v B = - 1 20 + 1 25 = - 5 + 4 100 = - 1 100 v B = - 100   c m Hence, the distance d between the images can be calculated as follows: d

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