Three identical balls balls one ball two and ball 3 are placed on a smooth floor on a straight line at separation of 10 Meter between the balls as shown in the figure initially balls are at stationery ball 1 is given a velocity of 10 Meter per second towards ball 2 to collision between ball 1 and 2 is inelastic with coefficient of restitution 0.5 but collision between ball2 and 3 is perfectly elastic what is the time interval between two consecutive collisions between ball1 and 2

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Two balls marked 1 and 2 of the same mass m and a third ball marked 3 of mass M are arranged over a smooth horizontal surface as shown in the figure. Ball 1 moves with a velocity $v_{1}$ towards balls 2 and 3. All collisions are assumed to be elastic. If M < m, the number of collisions between the balls will be