$A$ smooth sphere $A$ moves on a frictionless horizontal surface with an angular velocity $\omega$ and a linear velocity $v$ of its center of mass. It undergoes an elastic collision with another identical sphere $B$ at rest. Neglecting friction everywhere,if the angular speeds after the collision are $\omega_A$ and $\omega_B$ respectively,then:

• A
  $\omega_A < \omega_B$
• B
  $\omega_A = \omega_B$
• C
  $\omega_A = \omega$
• D
  $\omega = \omega_B$