Two small particles of equal masses start moving in opposite directions from a point \( A \) in ...

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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 \( A \) ?
(1) 4
(2) 3
(3) 2
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