Rutherford Scattering of an Alpha Particle

AI Thread Summary
In Rutherford scattering, the minimum distance, r_min, is determined as the sum of the radii of the two nuclei involved. The alpha particle, being a helium nucleus, has a charge represented by z1, which is confirmed to be 2. For the target nucleus, the atomic number z2 is identified as 26 for iron (Fe). Understanding these values is crucial for applying the potential energy formula in scattering calculations. Accurate identification of these parameters is essential for analyzing alpha particle interactions.
ChrisWM
Messages
13
Reaction score
1
Homework Statement
What kinetic energy does an a-particle have to have in order to just come into contact with the surface of an iron nucleus in a head on collision in a scattering experiment? (You may assume the iron is fixed and remains at rest during the interaction.) For the radius of the a-particle use ra = 2.60 fm and for the iron nucleus use rFe = 4.59 fm.
Relevant Equations
k=(z1e)(z2e)/(4pi*(eo)(rmin))
I have the equation but I am unsure of what my r min would be. Is it the sum of the radii or the difference? I am also confused on what z1 would be. I am fairly sure z2 is the atomic number of Fe(26) but I am unsure of this as well.
Edit: I just read that z1 could be 2, is this correct?
 
Physics news on Phys.org
## r_{min} ## would be the sum of the radii, because in the potential energy formula, ## r_{min} ## is the distance between the centers of the two charged nuclei. (The alpha particle is a helium nucleus, and yes ## z_1=2 ##).
 
  • Like
Likes ChrisWM
Charles Link said:
## r_{min} ## would be the sum of the radii, because in the potential energy formula, ## r_{min} ## is the distance between the centers of the two charged nuclei. (The alpha particle is a helium nucleus, and yes ## z_1=2 ##).
Thank you so much!
 
  • Like
Likes Charles Link
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...
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 .
Back
Top