Question

Assertion :There is a thin rod $AB$ and a dotted line $CD$. All the axes we are talking about are perpendicular to plane of paper. As we take different axes moving from $AtoD,$ moment of inertia of the rod may first decrease then increase Reason: Theorem of perpendicular axis cannot be applied here

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

Answer 1

The correct option is C If Assertion is true, but the Reason is false.

At $P$ distance from $C$ is minimum
$I=I_C+m{r}^2$
From A to P, moment of inertia will first decrease. At P it is minimum. Then it will increase.