$A$ smooth sphere $A$ is moving on a frictionless horizontal plane with an angular velocity $\omega$ and its center of mass is moving with a linear velocity $v$. It undergoes an elastic collision with a stationary sphere $B$. (Ignore 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
  $\omega_B = \omega$