Final answer:
To build a scale model of an atom with a nucleus 1.00 m in diameter, the distance of the nearest electron would be about 50,000 meters away. The options provided are actual atomic sizes and do not correspond to a scale model based on a 1-meter nucleus.
Step-by-step explanation:
If someone wanted to build a scale model of the atom with a nucleus 1.00 m in diameter, to create a proportional scale model you will need to consider the actual sizes of atomic particles. The diameter of a typical nucleus is about 10-15 meters, whereas the diameter of the entire atom, including its electron cloud, is about 10-10 meters. This means that the nucleus is 100,000 times smaller than the atom.
To calculate the distance of the nearest electron in the model, you would take the ratio of the atom's diameter to the nucleus's diameter, which is 100,000. If the nucleus in the model is 1 m in diameter, the scale model of the atom would be 100,000 meters in diameter. The nearest electron would therefore need to be approximately 50,000 meters (or 50 kilometers) away from the center of the nucleus to be at scale.
None of the provided options (a) 5.29 × 10-11 m, (b) 2.65 × 10-11 m, (c) 1.32 × 10-11 m, (d) 8.42 × 10-12 m is correct, as these numbers relate to actual atomic sizes, not to a meter-scale model.