Atomic StructureHard
Question
Given,
(A)
(B) 
The maximum number of electron(s) in an atom that can have the quantum numbers as given in and (B) respectively are:
Options
A.26 and 1
B.
4 and 1
C.2 and 4
D.8 and 1
Solution
A) $n = 5$
$$l = 0\ {\text{ }m}_{l} = 0 $$$l = 1\ {\text{ }m}_{l} = \mathbf{- 1},0,1 \Rightarrow 2$ electrons
$l = 2\ {\text{ }m}_{l} = - 2, - \mathbf{1},0,1,2 \Rightarrow 2$ electrons
$l = 3\ {\text{ }m}_{l} = - 3, - 2, - \mathbf{1},0,1,2,3 \Rightarrow 2$ electrons
$l = 4\ {\text{ }m}_{l} = - 4, - 3, - 2, - \mathbf{1},0,1,2,3,4 \Rightarrow 2$ electrons
Total number of electrons $= 8$
B) $n = 3,l = 2,{\text{ }m}_{l} = - 1,{\text{ }m}_{s} = + 1/2 \Rightarrow$ only 1 electron is possible
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