If the size of a nucleus( in the range of 10^-15 to 10^-14) is scaled up to the tip of a sharp pin, what roughly is the size of an atom? Assume tip of the pin to be the range 10^-5m to 10^-4m?

Question

Answer

the size of a nucleus is in the range of 10^-15 m and 10^-14 m. The tip of a sharp pin is taken to be in the range of 10^-5 m and 10^ -4m . Thus we are scaling up by a factor of 10 ^10. An atom roughly of size 10^-10 m will be scaled up to a size of 1m

Answer

Size of atom is 1 angstrom=10^-10m,
if we magnify the nucleus of size which is in the range 10^-15 to 10^-14, to the size of pin tip
i.e, 10^-5 to 10^-4,
magnification is 10 times,
if same magnification 10^10 is made on atom its dimensions will be 10^-10×10^10=10^0=1m

Answer

Size of Nucleus and Atom

The size of a nucleus is in the range of 10^-15 to 10^-14 meters. If we scale up the size of the nucleus to the tip of a sharp pin, we can get an idea about the size of an atom.

Calculation:

Let's assume the tip of the pin to be in the range of 10^-5m to 10^-4m.

The ratio of the size of the nucleus to the tip of the pin will be:

(10^-15m to 10^-14m) / (10^-5m to 10^-4m)

= 10^-11 to 10^-10

This means that the size of an atom is approximately 10 to 100 times larger than the size of a nucleus.

Explanation:

To understand this concept better, we need to know about the structure of an atom. An atom consists of a nucleus at the center, which contains protons and neutrons. Electrons orbit around the nucleus in shells.

The size of an atom is determined by the distance between the nucleus and the outermost electron shell. This distance is much larger than the size of the nucleus itself. Therefore, the size of an atom is much larger than the size of a nucleus.

Conclusion:

In conclusion, if we scale up the size of a nucleus to the tip of a sharp pin, the size of an atom would be approximately 10 to 100 times larger than the size of a nucleus. This concept helps us understand the relative sizes of atoms and nuclei.

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