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We cannot have a situation in which total external torque is non - zero while net external force is zero.

The angular momentum $\vec{L}$ and angular velocity $\vec{ω}$ are always anti - parallel vectors.

The centre of gravity always coincides with centre of mass.

The total torque on a system is independent of the origin if the total external force is zero.

answer is A.

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Detailed Solution

If net force on a body is zero, then net torque on a body is a constant and independent of whatever origin is taken to calculate it. Net torque on a body can only change if there is a net force on it (or) an external force action it.

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