How did Rutherford's atomic model fix the shortcomings of Thomson's atomic model?

Rutherford was forced to discard the Plum Pudding model and reasoned that the only way the alpha particles could be deflected backwards was if most of the mass in an atom was concentrated in a nucleus.

Thomson's model was usually called the plum pudding model that illustrates that the electrons are dispersed in an atom, and it resembles the plum found in a pudding.

The Rutherford's model was based upon the gold-foil experiment. In his experiment, the particles of alpha particles were bombarded to an atom. He considered that the particles will straightforwardly move through the atom as it possesses an ample amount of space within it.

However, he was astonished by the fact that some of the particles changed their path, while some straightforwardly moved on. As the alpha particles carry a positive charge and the positive charges repel each other. Thus, he postulated that the atom exhibits a positive charge, and it is gathered in a small region.