What would happen to the electrostatics force between a pair of charged particles if both charges were douled and the distance between them were also doubled?

Explanation

The electrostatic force between two charged particles is determined by Coulomb's law:F = k * q1 * q2 / r2where F is the electrostatic force, k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance between them.If both charges are doubled, q'1 = 2q1 and q'2 = 2q2, and the distance is also doubled, r' = 2r, the new force F' is:F' = k * (2q1) * (2q2) / (2r)2F' = (4 * k * q1 * q2) / 4r2F' = k * q1 * q2 / r2Therefore, the electrostatic force remains unchanged. The correct option is C: It would remain unchanged. Options A, B, and D are incorrect as they do not consider the balance between the changes in charge and distance, leading to no net change in force.