Q.

The angular momentum of a rigid body of mass m  about an axis is n times the linear momentum (P) of the body. Total kinetic energy of the rigid body is:

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answer is 1.

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Detailed Solution

L = nP   KE = KER + KET        =L22I  +  P22m=n2P22I  +  P22m=P22  n2I +  1mNOTE: According to the solution None of the options were matching in the original question. Here we changed the option 1 for the conevenience of the student.
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The angular momentum of a rigid body of mass m  about an axis is n times the linear momentum (P) of the body. Total kinetic energy of the rigid body is: