Choose which of the following is correct if the objects mass is doubled then the  gravitational force between two objects is:

Everybody in the universe attracts every other body with a force that is proportional to the product of their masses and inversely proportional to the square of their distance. It is known as the gravitational force.

$\mathrm{F}\propto \frac{{\mathrm{m}}_1.{\mathrm{m}}_2}{{\mathrm{R}}^2}$

$\mathrm{F}=\mathrm{G}\frac{{\mathrm{m}}_1.{\mathrm{m}}_2}{{\mathrm{R}}^2}$

Here ${\mathrm{m}}_1$ and  ${\mathrm{m}}_2$ are the masses of two bodies, and here R is the distance between them and G is the Gravitational Constant. G = 6.67 × 10^-11 Nm²(kg)^-2

According to question, If one mass say, m is doubled, then force is

$\mathrm{F}\text{'} =\frac{2\mathrm{GMm}}{{\mathrm{R}}^2}=2\mathrm{F}$

Thus, the force gets doubled.