When a negatively charged rod touches a neutral metal sphere, the interaction leads to a transfer of charge. Since the rod has excess electrons, these electrons will move to the sphere because the sphere is neutral and the contact allows for the flow of charge.
Once the electrons move from the rod to the sphere, they will spread out evenly across the surface of the conductor (the metal sphere) due to the repulsive forces between the like charges.
Therefore, the correct answer is:
b. The excess electrons will move from the rod to the sphere and spread out on the sphere.