# Electric field at surface of lead-208 nucleus

• ChiralSuperfields
In summary, the given conversation discusses the relationship between the volume of a nucleus and the volume of a proton, represented by the respective radii. By equating the two volumes, the expression ## r = (208)^{1/3}(1.20 \times 10^{-15} m)## is obtained, which shows the proportional relationship between the two radii.
ChiralSuperfields
Homework Statement
Relevant Equations
For this problem,

The solution is,

However why is ## r = (208)^{1/3}(1.20 \times 10^{-15} m)##

Many thanks!

Just write the relationship given, between the volume of proton and volume of nucleus in terms of the respective radius. (##V=208 V_p##).

ChiralSuperfields
nasu said:
Just write the relationship given, between the volume of proton and volume of nucleus in terms of the respective radius. (##V=208 V_p##).

I will use ##r## for the radius of the nucleus and ##R## for the radius of the proton.

## \frac {4{\pi}r^3} {3} = 208\frac {4{\pi}R^3} {3}##
## r =(208R^3)^{1/3}##
## r = 208^{1/3}R ##
## r = (208)^{1/3}(1.20 \times 10^{-15} ## ##m)##

Thank you I see how they got it now!

berkeman and nasu

## 1. What is the electric field at the surface of a lead-208 nucleus?

The electric field at the surface of a lead-208 nucleus is dependent on the charge and size of the nucleus. It is typically on the order of 10^12 volts per meter.

## 2. How is the electric field at the surface of a lead-208 nucleus calculated?

The electric field at the surface of a lead-208 nucleus can be calculated using the equation E = kQ/r^2, where E is the electric field, k is the Coulomb constant, Q is the charge of the nucleus, and r is the radius of the nucleus.

## 3. Why is the electric field at the surface of a lead-208 nucleus important?

The electric field at the surface of a lead-208 nucleus is important because it affects the behavior of charged particles near the nucleus. This can have implications in nuclear reactions and particle interactions.

## 4. How does the electric field at the surface of a lead-208 nucleus compare to other nuclei?

The electric field at the surface of a lead-208 nucleus is relatively strong compared to other nuclei. This is due to its large size and high charge, which result in a higher electric field strength.

## 5. Can the electric field at the surface of a lead-208 nucleus be manipulated?

Yes, the electric field at the surface of a lead-208 nucleus can be manipulated by changing the charge or size of the nucleus. This can be done through nuclear reactions or by applying external electric fields.

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