A horizontal disc rotates freely about a vertical axis through its centre. A ring, having the sa...

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A horizontal disc rotates freely about a vertical axis through its centre. A ring, having the same mass and radius as the
\( \mathrm{P} \) disc, is now gently placed on the disc. After some time, the

W two rotate with a common angular velocity, then
(1) some friction exists between the disc and the ring
(2) the angular momentum of the disc plus ring is conserved
(3) the final common angular velocity is (2/3)rd of the initial angular velocity of the disc
(4) (2/3)rd of the initial kinetic energy changes to heat
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