Three spheres, each of mass `m`, can slide freely on a frictionless, horizontal surface. Spheres `A` and `B` are attached to an inextensible, inelastic cord of length `l` and are at rest in the position shown where sphere `B` is struck by sphere `C` which is moving to the right with a velocity `v_(0)`. Knowing that the cord is taut where sphere `B` is struck by sphere `C` and assuming 'head on' inelastic impact between `B` and `C`, we cannot conserve kinetic energy of the entire system.
The velocity of `B` immediately after collision is along unit vector

Options

A. `hat(i)`
B. `(1)/(2) hat(i)+(sqrt(3))/(2)hat(j)`
C. `hat(j)`
D. none of these

Answer

B