Electric field at surface of lead-208 nucleus

AI Thread Summary
The discussion focuses on deriving the relationship between the radius of a lead-208 nucleus and the radius of a proton. The equation used is based on the volumes of the nucleus and proton, expressed as V = 208 Vp. The radius of the nucleus, r, is calculated using the formula r = (208)^(1/3)(1.20 × 10^-15 m). This relationship clarifies how the volume of the nucleus relates to the volume of protons. The participants express gratitude for the explanation, indicating a clear understanding of the derivation.
member 731016
Homework Statement
Please see below
Relevant Equations
Please see below
For this problem,
1674151948824.png

The solution is,
1674151982159.png

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

Many thanks!
 
Physics news on Phys.org
Just write the relationship given, between the volume of proton and volume of nucleus in terms of the respective radius. (##V=208 V_p##).
 
  • Like
Likes member 731016
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##).
Thanks for your reply @nasu!

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!
 
  • Like
Likes berkeman and nasu
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'A bead-mass oscillatory system problem'
I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...

Similar threads

Back
Top