Final answer:
In Bohr's model, the potential energy of interaction between the electron and the nucleus can be derived by considering the changes in the electron's energy as it moves between different orbits. The electron can release energy when moving to a lower energy orbit, or absorb energy when moving to a higher energy orbit.
Step-by-step explanation:
In Bohr's model of the atom, the energy of interaction between the electron and the nucleus can be derived by considering the changes in the electron's energy as it moves between different orbits. Each orbit in Bohr's model has a specific energy level, and when an electron moves from a higher energy orbit to a lower one, it releases energy in the form of electromagnetic radiation. Conversely, when an electron moves from a lower energy orbit to a higher one, it requires additional energy.
In order to obtain the necessary energy to move to a higher energy orbit, the electron can absorb electromagnetic radiation from an outside source. This absorbed energy can then be used to raise the electron to a higher energy level.