A circular disc of mass \( 2 m \) and radius \( 3 r \) is resting on a flat frictionless sur...

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A circular disc of mass \( 2 m \) and radius \( 3 r \) is resting on a flat frictionless surface. Another circular disc of mass \( m \) and radius \( 2 r \) , moving with a velocity \( u \) hits the first disc as shown in the figure. The collision is elastic.
What is the tangential component of final velocity of the smaller disc?
(1) \( u \)
(2) \( \frac{u}{2} \)
(3) \( \frac{3 u}{5} \)
(4) \( \frac{4 u}{5} \)
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