When you double the distance between a pair of charged particles what happens to the force between them?

Force between the two charges becomes one fourth of the initial force.

Explanation:

The electrostatic force acting between any two charges is given as,

Here,

F = force

k = Coulomb's constant

= magnitude of charge of the first particle

= magnitude of charge of the second particle

= separation between the two charges

From the above relation,

Thus,