The force of repulsion between two like-charged particles will increase if:

1.The distance between the charged particles is increased.
2.The distance between the charged particles is decreased.
3.The magnitude of the charge on both the particles is decreased.
4.The magnitude of the charge on one of the particles is decreased.

2. The distance between the charged particles is decreased.

4. The magnitude of the charge on one of the particles is decreased.

2 or 4?

Both options 2 and 4 will lead to an increase in the force of repulsion between two like-charged particles. Decreasing the distance between the particles will increase the force of repulsion, according to Coulomb's law. Similarly, decreasing the magnitude of the charge on one of the particles will also increase the force of repulsion.

can only be 1 answer

If there can only be one answer, then the correct answer would be:

2. The distance between the charged particles is decreased.