The escape velocities of two planets … and … are in the ratio …. If the ratio of their radii respectively is …, then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of planet B will be :

Option C. The escape velocity of a planet is given by the formula:

Gravitation

JEE Main 2023 · 1 Feb, Evening shift · Q7205

PhysicsMedium159×since 2002Q7205

The escape velocities of two planets

\mathrm{A}

and

\mathrm{B}

are in the ratio

1: 2

. If the ratio of their radii respectively is

1: 3

, then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of planet B will be :