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Assertion : If there is no external torq...

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

Assertion and Reason are true and Reason is a correct explanation for Assertion.

B

Assertion and Reason are true and Reason is not a correct explanation for Assertion.

C

Assertion is true and Reason is false.

D

Assertion is false and Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
The absence of external torque does not ensure the absence of external force. If external force is present then the velocity of centre of mass will not remain constant. Thus statement 1 is false.
The linear momentum of an isolated system remains constant because no external force acts on such a system. Thus statement 2 is true.
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Knowledge Check

  • In the following question, statement 1 refers assertion and statement 2 refers reason. Statement 1: 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 2: The linear momentum of an isolated system remains constant. Which one of the following statement is correct?

    A
    Statement 1 and 2 are true and statement 2 is a correct explanation for statement 1.
    B
    Statements 1 and 2 are true and statement 2 is not a correct explanation for statement 1.
    C
    Statement 1 is true and statement 2 is false.
    D
    Statement 1 is false and statement 2 is true.

  • The angular momentum of a moving body remains constant if

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

  • The angular momentum of a moving body remains constant if

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

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