Question

Two nucleons are at a separation of 1 fermi. The net force between them is F1​, if both are neutrons, F2​ if both are protons and F3​, if one is a proton and the other is a neutron
$\begin{align}
& \text{A}\text{. }{{\text{F}}_{1}}>\text{ }{{\text{F}}_{2}}\text{ }{{\text{F}}_{3}} \\
& \text{B}\text{. }{{\text{F}}_{3}}\text{= }{{\text{F}}_{1}}\text{ }{{\text{F}}_{2}} \\
& \text{C}\text{. }{{\text{F}}_{1}}\text{= }{{\text{F}}_{3}}\text{ }{{\text{F}}_{2}} \\
& \text{D}\text{. }{{\text{F}}_{1}}\text{= }{{\text{F}}_{2}}\text{ }{{\text{F}}_{3}} \\
\end{align}$

Answer 1

Step by step solution:
As we know Nuclear forces are the strongest forces in nature, they are strong forces of attraction that hold nucleons (neutrons and protons) together in the small nucleus of an atom, inducing strong electrostatic forces of repulsion between protons. Atomic forces act with equal strength between a pair of neutrons, a pair of protons, and a neutron, proton pair. This suggests that nuclear forces are independent.
The attractive nuclear force is the same for any pair of nucleons. Thus, ${F_1}={F_3}$ when there are no electrostatic forces, but F2 is of repulsive nature as both are protons, so repulsive force dominates the attraction between them
Therefore, ${{\text{F}}_{1}}\text{= }{{\text{F}}_{3}}\text{ }>{{\text{F}}_{2}}$

So, option C is correct

Additional information:Strong nuclear force (also called strong force) is one of the four basic forces of nature (the others being gravity, electromagnetic force and weak nuclear force). As its name implies, it is the strongest of the four. However, it also has the smallest range, meaning that the particles must be extremely close before their effects are felt.
Its main function is to hold together the sub-atomic particles of the nucleus (protons, which carry a positive charge, and neutrons, which carry no charge. These particles are collectively called nuclei). As most people learn in their science education, such charges repel (+ +, or -), and vice versa charge attract (+ -).
The nuclear force is the force that binds protons and neutrons together in a nucleus. This force may exist between protons and protons, neutrons and protons or neutrons and neutrons. This force is what holds the nucleus together. The charge of the protons, which is + 1e, pushes them away from each other with a strong electric field repulsive force, following Coulomb's law. But nuclear force is enough to keep them strong and overcome that resistance at short distances.

Notes:nuclear is attractive in nature but with a repulsive core. This is why the nucleus is held together without collapsing into itself.
The range of nuclear force is very low. At 1 Fermi, the distance between particles in a nucleus is small. At this limit, the atomic force is stronger than the repulsive Coulomb force that pushes the particles away. However, if the distance is greater than 2.5 ferns, the atomic force is practically non-existent.