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  4. The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)'. Which one of the graphs represents the variation of I(x) with x correctly?

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Q. The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of $x$ from it, is $'I(x)'$. Which one of the graphs represents the variation of $I(x)$ with $x$ correctly?

JEE MainJEE Main 2019System of Particles and Rotational Motion

Solution:

$
\begin{array}{l}
I _{ x }= I _{ cm }+ mx ^{2} \\
I =\frac{2}{5} mR ^{2}+ mx ^{2}
\end{array}
$
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