The correct statement is:
C. It will distribute itself evenly over the surface of the sphere, because like charges repel and the sphere is a conductor.
Explanation: When the negatively charged rubber rod comes into contact with the neutral metal sphere, negative charges (electrons) move from the rod onto the sphere. Since the metal sphere is a conductor, the negative charges will repel each other and distribute themselves evenly across the surface of the sphere due to the principle that like charges repel. Additionally, the charges will spread out to minimize the electric potential energy, achieving an equilibrium where the charge is evenly distributed over the surface of the conductive material.