Statement 1: If there is no external torque on the body about its centre of mass, then the velocity of the centre of mass remains constant. Statement 2: The linear momentum of the isolated system remains constant.

Statement 1: If there is no external torque on the body about its centre of mass, then the velocity of the centre of mass remains constant. Statement 2: The linear momentum of the isolated system remains constant. Correct Answer Statement 2 is true, statement 1 is false

The absence of external torque does not ensure the absence of external force. If an external force is present, then the velocity of the centre of mass will not remain constant. Thus statement 1 is false.

Related Questions

Statement I When a gun is fired, i.e. it placing pushes back with much less velocity than the velocity of the bullet.
Statement II Velocity of the recoiling gun is less because the gun is much heavier than bullet.
According to the Principle of conservation of momentum when the gun is fired, momentum of gun and bullet system remains constant.
A rigid body is rotating about its centre of mass; fixed at origin with an angular velocity $$\overrightarrow \omega $$ and angular acceleration $$\overrightarrow \alpha $$. If the torque acting on it is $$\overrightarrow \tau $$ and its angular momentum is $$\overrightarrow {\bf{L}} $$, then the rate of change of its kinetic energy is