|
GR8677 #82
|
|
|
Problem
|
|
|
Atomic }Emission Lines
(A) The Stern-Gerlach effect has to do with splitting of beams of atoms sent through an inhomogenous magnetic field. Does not have to do with emission spectrum.
(B) The Stark effect has to do with energy shifts via placing atom(s) in an Electric field.
(C) Splitting is often due to electron spin magnetic moments.
(D) The condition is much too rigid.
(E) Splitting of energies means more lines than before. This choice is general enough to be true.
(The effect of energy shifts due to placing an atom in a magnetic field is called the Zeeman Effect, which isn't listed.)
|
|
|
Alternate Solutions |
| There are no Alternate Solutions for this problem. Be the first to post one! |
|
|
Comments |
spacemanERAU 2009-10-20 12:20:06 | I easily narrowed it down to choices C and E but how do you know to pick E instead of C...thats tricky
jcsoldier11 2009-10-25 21:55:53 |
Because as said above, the splitting is usually due to Electron spin magnetic moments, not the nuclear magnetic moments (which is what option C suggests).
|
|  | timsaucer 2006-11-01 12:43:48 | The electrons in the atoms have magnetic moment due to both their angular orbital momentum (when applicable) and their spin. When you apply the external magnetic field, it will couple with the magnetic moment either parallel or anti-parallel. The coupling will change the energy level of the electron (referred to as splitting). The splitting energy levels causes more spectral lines. |  | Healeyx76 2006-10-24 11:41:58 | Splitting of energies means more lines than before.
Why do you assume splitting of energies? All the problem states is that it differs. Why couldn't it be less?
Rune 2007-10-15 21:14:15 |
Because that is what actually happens when you put an atom in a magnetic field, known as the Zeeman effect. I don't think I've ever heard of anyone observing lines actually collapsing on eachother due to placing an atom in a magnetic field.
|
wittensdog 2009-10-07 19:24:37 |
What happens is that when you solve the SE for the coulomb potential, you get a bunch of states which all have the same energy, with different values of angular momentum. In general, the degeneracy for the nth state is n^2. However, when a magnetic field is applied, the energy also becomes a function of the angular momentum of the electrons, via their interaction with the magnetic field. So this is why there are more energy levels when the field is applied, and not less - we are lifting a degeneracy that previously existed where different angular momentum corresponded to the same energy.
|
|  |
|
|
|
|
|