(a) The attraction between A and B could be due to the following reasons:
- B is negatively charged and hence A and B attract each other.
- B is neutral. The two balls attract each other due to the polarization of molecules in neutral ball B.
It is not possible to determine for sure that ball B is negative or neutral from this experiment alone.
(b) Possible additional experiments:
- A known neutral ball can be brought near ball B (without ball A nearby).
If the neutral ball is attracted to ball B, then ball B is negatively charged for sure.
If there is no interaction between the two balls, then ball B is neutral for sure.
- A known negatively charged ball is brought near ball B (without ball A nearby).
If ball B repels the negatively charged ball, ball B is negatively charged for sure.
On the other hand, if ball B is attracted to the negatively charged ball, then ball B is neutral for sure.