$A$ smooth sphere $A$ is moving on a frictionless horizontal plane with an angular velocity $\omega$ and a linear velocity $v$ of its center of mass. It undergoes an elastic head-on collision with an identical sphere $B$ which is at rest. If there is no friction anywhere,then after the collision,their angular speeds are $\omega_A$ and $\omega_B$ respectively. Then:
- A$\omega_A < \omega_B$
- B$\omega_A = \omega_B$
- C$\omega_A = \omega$
- D$\omega = \omega_B$
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