A charge of +Q and a charge of +2Q are separated by a distance r. The electric force of +2Q on +Q has a magnitude of F and is directed to the right. Which one of the following statements is correct regarding the electric force of +Q on +2Q?

(A)The electric force of +Q on +2Q has a magnitude F and is directed to the right.

(B) The electric force of +Q on +2Q has a magnitude F and is directed to the left.

(C) The electric force of +Q on +2Q has a magnitude 2F and is directed to the right.

(D) The electric force of +Q on +2Q has a magnitude 2F and is directed to the left.

(E) The electric force of +Q on +2Q is zero.

It's B

To determine the correct statement regarding the electric force of +Q on +2Q, we can use Coulomb's Law. Coulomb's Law states that the magnitude of the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, Coulomb's Law can be written as:

F = k * (|Q1| * |Q2|) / r^2

where F is the magnitude of the electric force, k is Coulomb's constant (approximately 9 × 10^9 N*m^2/C^2), Q1 and Q2 are the magnitudes of the charges, and r is the distance between the charges.

In this case, we have a charge of +Q and a charge of +2Q separated by a distance r. The electric force of +2Q on +Q has a magnitude of F and is directed to the right. Since we are looking for the electric force of +Q on +2Q, we can apply Coulomb's Law by swapping the charges:

F = k * (|Q1| * |Q2|) / r^2
= k * (|2Q| * |Q|) / r^2
= (2 * k * |Q| * |Q|) / r^2

We can see that the magnitude of the electric force of +Q on +2Q is 2F (twice the magnitude of the electric force from +2Q on +Q). However, the direction of the force is not specified in the question. Since the force between two opposite charges is attractive, the electric force of +Q on +2Q will be directed towards +2Q. Therefore, the correct statement is (C): The electric force of +Q on +2Q has a magnitude 2F and is directed to the right.