Suppose E , G , and N denote the magnitudes of the electromagnetic,...

Electrons are leptons and do not participate in strong nuclear interactions. Therefore, the magnitude of the nuclear force between two electrons is zero, i.e., $N = 0$.

The electromagnetic force $E$ between two electrons is much greater than the gravitational force $G$ between them. For two electrons, the ratio of the electromagnetic force to the gravitational force is approximately $10^{42}$, which means $E > G$.

Since $G > 0$ and $N = 0$, the correct order of the magnitudes of the forces is $E > G > N$.