Statement I : If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.
Statement II : The linear momentum of an isolated system $(F_{e x t} = 0)$ remains constant.

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Statement I is False, Statement II is True

Statement I is True, Statement II is False

Both Statement I and Statement II are correct

Both Statement I and Statement II are incorrect

answer is D.

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Detailed Solution

Statement-I is false because velocity of centre of mass of a body remain constant if there is no external force acting on the body and it is not directly related to external torque whereas Statement-II is true because for an isolated system as no external force is acting on system, linear momentum will remain conserved

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