Physics Question from JEE Main 2025 · 22 January, Shift 1

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