JEE Main 2025 — Gravitation Question with Solution

A small point of mass $m$ is placed at a distance $2R$ from the centre ' $O$ ' of a big uniform solid sphere of mass M and radius R . The gravitational force on ' m ' due to M is ${\mathrm{F}}_1$. A spherical part of radius $\mathrm{R}/3$ is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of $M$ is found to be $F_2$. The value of ratio $F_1:F_2$ is