STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant. STATEMENT-2: The linear momentum of an isolated system remains constant. [2007]

Question

STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.

STATEMENT-2: The linear momentum of an isolated system remains constant. [2007]

Smart Achievers · Accepted Answer

(4)

There is no external torque on a body about its centre of mass, so no Ven is constant. For velocity of centre of mass to remain constant the net force acting on a body must be zero.

The linear momentum of an isolated system remains constant.

Solution

Q.
STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.

STATEMENT-2: The linear momentum of an isolated system remains constant. [2007]

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

2 Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

3 Statement-1 is True, Statement-2 is False

4 Statement-1 is False, Statement-2 is True

Ans.
(4)

There is no external torque on a body about its centre of mass, so no Ven is constant. For velocity of centre of mass to remain constant the net force acting on a body must be zero.

The linear momentum of an isolated system remains constant.

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