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JEE Advanced2009PhysicsCenter of Mass, Momentum and CollisionActual

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2 v respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A , these two particles will again reach the point A ?

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

C. 2

Step-by-step solution

At first collision one particle having speed 2 v will rotate 240^ ( . or . 4 3 ) while other particle having speed v will rotate 120^ (or . 2 3 ) . At first collision they will exchange their velocities. Now as shown in figure, after two collisions they will again reach at point A .

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