Final answer:
Rutherford's experiment showed that alpha particles can be deflected when they collide with a small, dense, positively charged nucleus at the centre of an atom. This experiment disproved the plum pudding model of the atom and provided direct evidence for the existence of a small, massive nucleus.
Step-by-step explanation:
Rutherford's experiment was important because it showed that alpha particles can be deflected when they collide with a small, dense, positively charged nucleus at the centre of an atom. Rutherford bombarded a thin sheet of gold foil with alpha particles and observed that a small percentage of particles were deflected at large angles, which indicated the presence of a concentrated positive charge in the nucleus. This experiment disproved the plum pudding model of the atom and provided direct evidence for the existence of a small, massive nucleus.