Calculate the closest distance a 9 MeV alpha particle can approach the target nucleus of an...
Calculate the closest distance a 9 MeV alpha particle can approach the target nucleus of an Fe atom for a potential direct head-on impact. How does this value compare with the radius of the Fe nucleus? Does the alpha touch the nucleus?
Homework Answers
Given:
Kinetic energy of alpha particle
Positive charge contained in an alpha particle 
Positive charge contained in an iron nucleus 
Solution:
Let the distance of closest approach is 
.
The kinetic energy of the alpha particle will be converted into the potential energy of the alpha particle and iron nucleus at the distance of closest approach.
Radius of the iron nucleus is 
The distance of closest approach is approximately twice the radius of iron nucleus.
No, the alpha particle does not touch the iron nucleus.
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