Question

If the distance between two masses be doubled, then the force between them will become

• A. $\frac{1}{4}$ times
• B. 4 times
• C. $\frac{1}{2}$ times
• D. 2 times

Answer 1

The correct option is A $\frac{1}{4}$ times

Gravitational force between two bodies$F=\frac{G{m}_1{m}_2}{r^2}$

so gravitational force between two bodies $F\propto \frac{1}{r^2}$.

Hence $r$ is doubled so $F$ become $1/4$ times