Physics · 2020
JEE Main · 6 September 2020, Shift 2 · Q5
The linear mass density of a thin rod AB of length L varies from A to B as λ(x)=λ_0(1+x/L), where x is the distance from A. If M is the mass of the…
The linear mass density of a thin rod AB of length L varies from A to B as $\displaystyle \lambda(x)=\lambda_0\left(1+\frac{x}{\mathrm{~L}}\right)$, where $\displaystyle x$ is the distance from A . If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular to the rod is :
Official answer
(2)
$\displaystyle \frac{7}{18} \mathrm{ML}^2$
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.