Atomic Structure Question 411
Question: Which combinations of quantum numbers, $ n,l,m $ and s for the electron in an atom does not provide a permissible solution of the wave equation-
Options:
A) $ 3,2,1,+\frac{1}{2} $
B) $ 3,1,1,-\frac{1}{2} $
C) $ ~3,3,1-\frac{1}{2} $
D) $ 3,2,-2,+\frac{1}{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
- Possible values of l and m depend upon the value of n $ l=0,to( n-l ) $
$ m=-l $ to $ +l $ through zero $ s=+\frac{1}{2} $ and $ -\frac{1}{2} $ Thus for $ n=3, $
$ l $ may be 0, 1 or 2; but not 3 $ m $ maybe $ -2,-1,0,+1 $ or+2 s may be $ +\frac{1}{2} $ or $ -\frac{1}{2} $
