A smooth sphere \( A \) is moving on a frictionless horizontal plan...

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A smooth sphere \( A \) is moving on a frictionless horizontal plane with angular velocity \( \omega \) and centre of mass velocity \( v \). It collides elastically and head on with an identical sphere \( B \) at
P rest. Neglect friction everywhere. After the collision their

W angular speeds are \( \omega_{A} \) and \( \omega_{B} \) respectively. Then,
(1999, 2M)
(a) \( \omega_{A}\omega_{B} \)
(b) \( \omega_{A}=\omega_{B} \)
(c) \( \omega_{A}=\omega \)
(d) \( \omega_{B}=\omega \)
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