Physics · 2020
JEE Main · 3 September 2020, Shift 2 · Q5
The mass density of a planet of radius R varies with the distance r from its centre as ρ( r )=ρ_0(1-(r^2)/(R^2)). Then the gravitational field is…
The mass density of a planet of radius $\displaystyle R$ varies with the distance $\displaystyle r$ from its centre as $\displaystyle \rho(\mathrm{r})=\rho_0\left(1-\frac{\mathrm{r}^2}{\mathrm{R}^2}\right)$. Then the gravitational field is maximum at :
Official answer
(2)
$\displaystyle \mathrm{r}=\sqrt{\frac{5}{9}} \mathrm{R}$
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.