Question

Assertion :Moment of inertia of a rigid body about any axis passing through its centre of mass is minimum Reason: From theorem of parallel axis $I=I_{cm}+M{r}^2$

• A. Both Assertion and Reason are true and the Reason is correct explanation of the Assertion
• B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
• C. Assertion is true, but the Reason is false
• D. Assertion is false but the Reason is true

Answer 1

The correct option is D Assertion is false but the Reason is true

From theorem of parallel axis

$I=I_{CM}+M{r}^2$

Hence, moment of inertia is minimum about axis passing through CM among another parallel axis.

Assertion is false and reason is correct.