When the negatively charged rod touches the neutral metal sphere, the excess electrons from the rod will flow to the sphere. This occurs because like charges repel, and the rod has an excess of negative charge (electrons) which will push electrons into the neutral sphere.
Once the electrons transfer to the sphere, they will spread out due to the repulsion between like charges, causing the sphere to become negatively charged and achieve an equilibrium distribution of the added electrons.
Thus, the correct answer is:
The excess electrons will move from the rod to the sphere and spread out.