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How did Rutherford interpret the following observations made during his \(\alpha\) -particle scattering experiments? (a) Most \(\alpha\) particles were not appreciably deflected as they passed through the gold foil. (b) A few \(\alpha\) particles were deflected at very large angles. (c) What differences would you expect if beryllium foil were used instead of gold foil in the \(\alpha\) -particle scattering experiment?

Short Answer

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Rutherford's alpha particle scattering experiment revealed the structure of atoms through the deflection patterns of alpha particles passing through gold foil. Observation (a) showed that most alpha particles were not deflected, indicating large empty spaces within atoms and a small central nucleus. Observation (b) revealed that a few alpha particles were deflected at large angles due to repulsive forces from the positively charged nucleus. If beryllium foil were used instead, fewer alpha particles might be deflected at large angles, as it has a smaller nucleus and positive charge than gold. However, Rutherford's conclusion regarding a small nucleus in a large empty space would still hold true.

Step by step solution

01

Understanding Rutherford's Alpha Particle Scattering Experiment

Rutherford's alpha particle scattering experiment involved placing a thin gold foil within a vacuum, then aiming a beam of alpha particles (helium nuclei) at it. Detectors placed around the gold foil would measure angles of deflection for these particles. With these observations, Rutherford explored the structure of atoms.
02

Observation (a): Undisturbed Alpha Particles

Most alpha particles were not appreciably deflected as they passed through the gold foil. This indicates that the majority of the gold atoms' internal spaces are empty, allowing the alpha particles to pass through with minimal interaction. Rutherford concluded that the atoms must have a large empty space, with the majority of the mass concentrated in a small central region called the nucleus.
03

Observation (b): Alpha Particles Deflected at Large Angles

A small number of alpha particles were deflected at very large angles or even turned back, instead of passing through the gold foil. This can be explained by the repulsive forces experienced by the positively charged alpha particles when they come close to the positively charged nucleus of the gold atoms. The large deflections indicate that the nucleus contains a high positive charge and is small compared to the size of the atom.
04

Using Beryllium Foil Instead of Gold Foil

If beryllium foil were used instead of gold foil in the alpha particle scattering experiment, there would be some differences observed in the results. Firstly, as beryllium has a smaller nucleus (4 protons) than gold (79 protons), the positive charge in the nucleus would be smaller. There might be fewer alpha particles deflected at very large angles, as they are less likely to experience strong repulsive forces coming close to the smaller nucleus. Moreover, the overall thickness of the beryllium foil layer might influence how alpha particles pass through, either by requiring a thinner layer or by having more alpha particles travel through it without significant deflection. This can play a role in determining the scattering pattern observed. In conclusion, the differences in atomic structure and size of beryllium compared to gold would result in a slightly different scattering pattern for the alpha particles. Overall, however, Rutherford's conclusion about the presence of a relatively small, positively charged nucleus within a large empty space would still hold true.

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