If an ivory ball of mass 2m moving with a velocity 'v' strikes head on to a close row of three identical ivory balls each of mass m as shown in the figure. Then after the collisions which may be assumed as elastic, which of the following would occur?
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a
The balls numbered 2 and 3 will move with velocity v, the others staying at rest.
b
The balls numbered 2 will move with velocity v, the others staying at rest.
c
The ball numbered 3 moves with velocity 4v/3 and the striking ball moves with velocity v/3
d
The balls numbered 1, 2 and 3 move with velocity v/3 and the striking ball stops dead
answer is A.
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Detailed Solution
In option (1), final momentum of the system = mv + mv = 2mv. Initial momentum of the system = 2m x v = 2mvInitial energy of the system Final energy of the system Therefore Linear momentum and energy, both are conserved.