Question

The gravitational force between two objects placed at a distance r is proportional to

• A. $r$
• B. $r^2$
• C. $\frac{1}{r^2}$
• D. $\frac{1}{r}$

Answer 1

The correct option is C $\frac{1}{r^2}$

The force of gravitation between the two bodies $=\frac{GMm}{r^2}$

Where G is gravitational constant

r is separation between the two bodies

M is mass of one body

m is mass of the other body

From the above expression we can easily see that the force is proportional to the inverse of the square of the distance between the two bodies i.e. $\frac{1}{r^2}$

Hence correct answer is option $C$