Let $I_{1}$ and $I_{2}$ be moments of inertia of a body about two axes 1 and 2 respectively if the axis 1 passes through the center of mass of the body but axis 2 does not then:

I_{1} < I_{2}

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I_{1} < I_{2}

, the axes are parallel.

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If the axes are parallel

I_{1} < I_{2}

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If the axes are not parallel,

I_{1} \geq I_{2}

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Solution

The correct option is C If the axes are parallel $I_{1} < I_{2}$
Moment of inertia of a body is minimum about an axis passing through its center of mass.
Moment of inertia of the about any other parallel axis is greater than about an axis passing through its center f mass.
$⟹ I_{2} > I_{1}$ (if the axis are parallel)

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