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Satement-1: if there is no external torq...

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

A

Statement I is True, Statement II is True, Statement ll is a correct explanation for Statement I.

B

Statement I is True, Statement II is True, Statement II is NOT a correct explanation for Statement I

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is True.

Text Solution

Verified by Experts

The correct Answer is:
D
Force may be acting through centre of mass as shown in figure. For this torque about `CM` will be zero. The force `F` will produuce an acceleration in the `CM`.
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Knowledge Check

  • Assertion : If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant. Reason : The linear momentum of an isolated system remains constant.

    A
    If both, Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
    B
    If both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
    C
    If Assertion is true but the Reason is false.
    D
    If both, Assertion and Reason are false.

  • The angular momentum of a moving body remains constant if

    A
    net external force is applied
    B
    net external torque is applied
    C
    net pressure is applied
    D
    net external torque is not applied .

  • The velocity of centre of mass of the system remains constant, if the total external force acting on the system is.

    A
    minimum
    B
    maximum
    C
    unity
    D
    zero