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.

1. The distance between the charged particles is increased

The force of repulsion between two like-charged particles is inversely proportional to the square of the distance between them. As the distance increases, the force of repulsion decreases. Therefore, if the distance between the charged particles is increased, the force of repulsion will increase.

2. The distance between the charged particles is decreased

Similarly, if the distance between the charged particles is decreased, the force of repulsion will increase. This is because the force of repulsion between two like-charged particles becomes stronger as they get closer to each other.

3. The magnitude of the charge on both the particles is decreased

If the magnitude of the charge on both particles is decreased, the force of repulsion between them will also decrease. This is because the force of repulsion is directly proportional to the magnitude of the charges. Therefore, if the charges on both particles are reduced, the force of repulsion will become weaker.

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

If the magnitude of the charge on one of the particles is decreased, the force of repulsion between them will also decrease. This is because the force of repulsion is directly proportional to the magnitude of the charges. If the charge on one of the particles is reduced, it will result in a weaker force of repulsion between the particles.