Three identical balls are connected by light inextensible strings with each other as shown and rest over a smooth horizontal table. Length of each string is `l`.
At moment `t = 0`, ball `B` is imparted a velocity `v_(0)` perpendicular to the strings and then the system is left on its own.

If collision between the balls is completely inelastic, then

Options

A. `(v_(0))/3`
B. `(2v_(0))/3`
C. `(2v_(0))/5`
D. none of these

Answer

A

Explanation

Just before `A` collides with `C`, the velocities of all particles will be same and along `y`- axis. Let it be `v`. At this time let velocity of `A` be `v_(1)` along `+ve` `x`-axis, and that of `C` be `v_(1)` along `-ve` `x-`axis.

form conservation of momentum along `y`-axis,
`mv_(0)=4mvimpliesv=(v_(0))/3`