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If torque acting on a particle is zero:

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Force could be central

Angular momentum= constant

Linear momentum = constant

Force could be conservative

answer is B, C, D.

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Detailed Solution

Torque due to central force about the Center of Mass is zero. So there is no external torque acting on the body. Therefore angular momentum is conserved. As external torque about a point is the rate of change of angular momentum about that point.

In case of earth revolving around sun, force could be conservative and central.

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