When a negatively charged rod touches a neutral metal sphere, the excess electrons from the rod will move to the sphere due to the difference in electric potential. This will happen because the metal sphere is neutral, and it allows electrons to move until equilibrium is reached.
Once contact is made, the excess electrons will move from the negatively charged rod to the neutral metal sphere and will then spread out over the surface of the sphere. This occurs due to the conductive nature of the metal, which allows electrons to distribute evenly to minimize repulsion between them and achieve a uniform charge distribution.
Therefore, the correct answer is:
c The excess electrons will move from the rod to the sphere and spread out on the sphere.