Physics · 2019
JEE Main · 8 April 2019, Shift 1 · Q5
A thin circular plate of mass M and radius R has its density varying as ρ(r)=ρ_0 r with ρ_0 as constant and r is the distance from its center. The…
A thin circular plate of mass M and radius $\displaystyle R$ has its density varying as $\displaystyle \rho(r)=\rho_0 r$ with $\displaystyle \rho_0$ as constant and $\displaystyle r$ is the distance from its center. The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is $\displaystyle \mathrm{I}=\mathrm{a} \mathrm{MR}^2$. The value of the coefficient a is :
Official answer
(1)
$\displaystyle 8$/$\displaystyle 5$
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JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.