Which of the following changes would increase the force between two charged particles to 9 times the original force?A.Increasing the distance between the particles by a factor of 3B.Decreasing the distance between the particles by a factor of 3C.Increasing the amount of charge on each particle by a factor of 9D.Decreasing the amount of charge on one of the particles by a factor of 9

The force between two charged particles is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Let's analyze each option:

A. Increasing the distance between the particles by a factor of 3 would decrease the force to 1/9 of the original force, not increase it.

B. Decreasing the distance between the particles by a factor of 3 would increase the force to 9 times the original force. This is because the force is inversely proportional to the square of the distance. So, if the distance is reduced by a factor of 3, the force is increased by a factor of 3^2 = 9.

C. Increasing the amount of charge on each particle by a factor of 9 would increase the force to 81 times the original force, not 9 times. This is because the force is directly proportional to the product of the charges. So, if each charge is increased by a factor of 9, the force is increased by a factor of 9^2 = 81.

D. Decreasing the amount of charge on one of the particles by a factor of 9 would decrease the force to 1/9 of the original force, not increase it.

So, the correct answer is B. Decreasing the distance between the particles by a factor of 3 would increase the force between two charged particles to 9 times the original force.

The force between two charged particles is governed by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Let's analyze each option:

A. Increasing the distance between the particles by a factor of 3 would decrease the force to 1/9 of the original force, not increase it.

B. Decreasing the distance between the particles by a factor of 3 would increase the force to 9 times the original force. This is because the force is inversely proportional to the square of the distance. So, if the distance is reduced by a factor of 3, the force is increased by a factor of 3^2 = 9.

C. Increasing the amount of charge on each particle by a factor of 9 would increase the force to 81 times the original force, not 9 times. This is because the force is directly proportional to the product of the charges. So, if each charge is increased by a factor of 9, the force is increased by a factor of 9^2 = 81.

D. Decreasing the amount of charge on one of the particles by a factor of 9 would decrease the force to 1/9 of the original force, not increase it.

So, the correct answer is B. Decreasing the distance between the particles by a factor of 3 would increase the force between two charged particles to 9 times the original force.