How does the number of neutrons in a stable nucleus compare with the number of protons? Why is this?

The number of neutrons in a stable nucleus can vary for different elements, but generally, the number of neutrons is approximately equal to the number of protons. This is known as the neutron-to-proton ratio.

The reason for this balance is related to the nature of nuclear forces and the stability of atomic nuclei. In an atom, protons have a positive charge that causes them to repel each other. The strong nuclear force, which is one of the four fundamental forces of nature, acts between protons and neutrons to hold the nucleus together. The strong nuclear force overcomes the electrostatic repulsion between protons and keeps the nucleus stable.

Neutrons play multiple important roles in atomic nuclei. They help to increase the stability of the nucleus by providing an additional attractive force through the strong nuclear force. Neutrons act as "nuclear glue" by reducing the electrostatic repulsion between protons and maintaining a balance with the number of protons.

If the number of protons exceeds a certain limit, the electrostatic repulsion becomes significant, making the nucleus unstable. On the other hand, if the number of neutrons is too high, the strong nuclear force becomes weaker, leading to nuclear instability.

It's worth mentioning that stable atomic nuclei can have slightly more neutrons than protons for heavier elements, which helps to increase stability. This is because larger nuclei require additional neutrons to counterbalance the increasing electrostatic repulsion between protons.

In summary, the number of neutrons in a stable nucleus is roughly equal to the number of protons in order to maintain a balance between the electrostatic repulsion of protons and the attractive force of the strong nuclear force.