The statement that does not accurately describe the forces that exist within an atom is:
A) Electrons closer to the nucleus and electrons farther from the nucleus repel due to like charges.
This statement is inaccurate because while electrons do repel each other due to their like charges, the force between an electron and the nucleus (which contains protons with positive charges) is one of attraction. Therefore, the relationship described in this option is misleading.
Other options accurately describe the forces involved:
B) is correct as electrons farther from the nucleus are indeed less attracted to it.
C) is correct as electrons are attracted to protons due to opposite charges.
D) is not accurate in its implication that electrons closer to the nucleus are more likely to be discharged, but it effectively describes the stronger attraction of electrons closer to the nucleus. However, typically, electrons near the nucleus are less likely to be discharged because of their stronger attraction.
So, the incorrect option is A.