The gravitational force between the two objects, separated by distance r is proportional to [tex]1/r^{2}[/tex]. Hence, option (C) is correct.
Given data:
The masses of objects are [tex]m_{1}[/tex] and [tex]m_{2}[/tex].
The distance of separation between the objects is, r.
The gravitational force is the force by which the object tends to attract towards the center of Earth, on account of gravity. The mathematical expression for the gravitational force between any two objects is given as,
[tex]F=G \times \dfrac{m_{1} \times m_{2}}{r^{2}}[/tex]
Here,
G is the universal gravitational constant.
So, from the above equation,
[tex]F \propto \dfrac{1}{r^{2}}[/tex]
Thus, we can conclude that the gravitational force between the two objects, separated by distance r is proportional to [tex]1/r^{2}[/tex]. Hence, option (C) is correct.
Learn more about the gravitational force here:
https://brainly.com/question/24783651
