Identify the correct statements:

The nuclear force is a short-range force, effective only over distances of the order of a few femtometers ($10^{-15}$ m). Beyond this range, it decreases exponentially and becomes negligible.

The electromagnetic and gravitational forces are long-range forces, both following the inverse-square law ($1/r^2$).

At large distances, the nuclear force is practically zero, while both electromagnetic and gravitational forces are non-zero. Therefore, at such distances, both the electromagnetic force and the gravitational force between a pair of protons are greater than the nuclear force between them. This makes statements (1) and (2) correct, and statement (4) incorrect.

The ratio of the electromagnetic force to the gravitational force between two protons is given by $\dfrac{F_e}{F_g} = \dfrac{\dfrac{1}{4\pi\epsilon_0}\dfrac{e^2}{r^2}}{G\dfrac{m_p^2}{r^2}} = \dfrac{e^2}{4\pi\epsilon_0 G m_p^2}$.

This ratio is a constant independent of the separation distance $r$ and is approximately $10^{36}$. Thus, the electromagnetic force is always greater than the gravitational force between a pair of protons. This makes statement (3) correct.