The mass density of a planet varies as ρ(r)=ρ₀(1−r²/R²)… | Electrostatics

JEE-MAIN 2020

03-09-2020 S2

Question

The mass density of a planet of radius $R$ varies with the distance $r$ from its centre as $\rho(r)=\rho_0\left(1-\frac{r^2}{R^2}\right)$. Then the gravitational field is maximum at

Select the correct option:

$r=\frac{1}{\sqrt{3}} R$

$r=\sqrt{\frac{3}{4}} R$

$r=\sqrt{\frac{5}{9}} R$

r = R

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Easy

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