Final answer:
Suppose the marble usually rolled to the end of the box without bouncing off anything, it would mean the targets inside are small, much like how Rutherford's experiment indicated atoms are mostly empty space with a small, dense nucleus. Rutherford's discovery led to the nuclear model of the atom with a central nucleus and surrounding electrons, later refined by Niels Bohr's model of quantized electron orbits. Protons' positive charge is offset by neutrons and the strong nuclear force in the nucleus.
Step-by-step explanation:
Rutherford's Experiment and the Atomic Model
If the marble in an experiment similar to Rutherford's Black box usually rolled right to the end of the box without bouncing off anything, this would indicate that the targets inside the box are very small or take up a tiny fraction of the space within the box. This is analogous to Rutherford's gold foil experiment, where most of the alpha particles passed through the gold foil without deflection, suggesting that atoms are mostly empty space with a small, dense nucleus.
Rutherford changed our thinking about atomic structure by proposing the nuclear model of the atom, where a positively charged nucleus is surrounded by electrons. Prior to his work, the prevailing model was the plum pudding model, where positive and negative charges were thought to be distributed evenly throughout the atom. Rutherford's gold foil experiment showed that this was not the case, as some alpha particles were deflected at large angles, indicating a concentrated positive charge in the center of the atom.
Niels Bohr, a student of Rutherford, advanced our understanding of the atom by proposing that electrons orbit the nucleus in fixed energy levels or shells. This explained why atoms emit light at specific wavelengths, as electrons move between these quantized orbits.
Protons being positively charged was problematic in earlier models because they should repel each other and cause the nucleus to disintegrate. However, it is explained by the presence of neutrons and the strong nuclear force which holds the nucleus together. Additionally, Rutherford's model required electrons to be in motion to avoid falling into the nucleus due to electrostatic attraction.