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Q.

Statement 1 : If no external force acts on a system of particles, then the centre of mass will not move in any direction.
Statement II : If net external force is zero, then the linear momentum of the system remains constant.

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a

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

b

Statement 1 is True, Statement 2 is False

c

Statement 1 is False, Statement 2 is True

d

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

answer is D.

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Detailed Solution

Net external force is zero. There fore, no acceleration for CM. But CM may still move with a constant velocity.

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Statement 1 : If no external force acts on a system of particles, then the centre of mass will not move in any direction.Statement II : If net external force is zero, then the linear momentum of the system remains constant.