Two small charged objects repel each other with a force F when separated by a distance d.If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to d/2 the force becomes:

Question

Quizplus · Accepted Answer

Given, the force between the two charged objects is F when distance between them is d and charge on each object is q.
Using Coulomb's law, F = (1/4πε0)(q^2/d^2)
If the charge on each object is reduced to q/4 and distance between them is reduced to d/2, the new force will be:
F' = (1/4πε0)(q/4)^2/(d/2)^2
Simplifying, F' = F/4
Therefore, the new force becomes F/4. Hence, the correct option is C.

Two Small Charged Objects Repel Each Other with a Force