How does the strong nuclear force between two nucleons varies with separation of the nucleons. Please detail the range over which the force acts.

The strong nuclear force is a fundamental force that binds quarks together to form nucleons. The force between nucleons is repulsive between similar nucleons (i.e. protons) before becoming attractive and binding the nucleus together.
It works over very short ranges between nucleons and their components, working at 0.1-1 femtometer (of the order of 10^-15m)