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JEE Advanced2007PhysicsCenter of Mass, Momentum and CollisionActual

Statement I If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant. Statement II The linear momentum of an isolated system remains constant.

Options

  1. AStatement I is true, Statement II is true; Statement II is a correct explanation for Statement
  2. BStatement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I
  3. CStatement I is true, Statement II is false
  4. DStatement I is false, Statement II is true

Correct answer

D. Statement I is false, Statement II is true

Step-by-step solution

If a force is applied at centre of mass of a rigid body, its torque about centre of mass will be zero, but acceleration will be non-zero. Hence, velocity will change. Correct option is ( d ) .

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