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.
Velocity of \( A \) immediately after collision is along unit vector
(1) \( \hat{i} \)
(2) \( \frac{1}{2} \hat{i}+\frac{\sqrt{3}}{2} \hat{j} \)
(3) \( \hat{j} \)
(4) none of these
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