A disc is free to rotate about a smooth horizontal axis passing through its centre of mass. A particle is fixed at the top of the disc. A slight push is given to the disc and it starts rotating. During the process,

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only mechanical energy is conserved

only angular momentum (about the axis of rotation) is conserved

Both mechanical energy and angular momentum are conserved

Neither the mechanical energy nor the angular momentum are conserved

answer is A.

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Detailed Solution

Angular momentum will not remain conserved due to the torque produced by weight of particle acting about axis of rotation. Hence, only mechanical energy is conserved.

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