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A point object is moving with a speed v in front of an arrangement of two mirrors as shown in the figure. The magnitude of velocity of the image in mirror M 1 with respect to the image in mirror M 2 is

Options

  1. A2 v sin θ
  2. Bv sin θ
  3. C3 v sin θ
  4. D4 v sin θ

Correct answer

A. 2 v sin θ

Step-by-step solution

Angle between v I 1 and v I 2 is 2 θ . The magnitudes of these vectors is v . ∴ | v → I 1 − v → I 2 | = v 2 + v 2 − 2 v · v · cos 2 θ = 2 v sin θ

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