The masses and radii of the | Gravitation

JEE MAIN 2021

31.08.21_S2

Question

The masses and radii of the earth and moon are ( $\mathrm{M} 1, \mathrm{R}_1$ ) and ( $\mathrm{M}_2, \mathrm{R}_2$ ) respectively. Their centres are at a distance ' r ' apart. Find the minimum escape velocity for a particle of mass ' $m$ ' to be projected from the middle of these two masses:

Select the correct option:

$V=\frac{1}{2} \sqrt{\frac{4 G\left(M_1+M_2\right)}{r}}$

$V=\sqrt{\frac{4 G\left(M_1+M_2\right)}{r}}$

$V=\frac{1}{2} \sqrt{\frac{2 G\left(M_1+M_2\right)}{r}}$

$V=\frac{\sqrt{2 G}\left(M_1+M_2\right)}{r}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution