When a negatively charged rod touches a neutral metal sphere, the excess negative charge (electrons) from the rod will move onto the neutral sphere. This transfer occurs because like charges repel, and the negatively charged rod will push electrons away from itself.
Since the sphere was initially neutral, it can accept the additional electrons without becoming negatively charged immediately; however, after the contact, the sphere will have a negative charge, as it now contains excess electrons.
So, the correct option is:
electrons will move from the rod to the sphere and spread out.