Answer
Please see the work below.
Work Step by Step
For a subshell representation, the suffix number represents the principal quantum number ‘$n$’.
For a principal quantum number ‘n’, angular the momentum quantum number $l$ can have values ranging from 0 to (n-1).
For an angular quantum number ‘$l$’ , the magnetic quantum number $m_{l}$ can have values ranging from - $l$ through zero to +$l$ .
The spin quantum number $m_{s}$ can have either +(1/2) or –(1/2) values.
a)
For a 3s orbital,
$n$ = 3
Possible values of ‘l’ are = 0, 1, 2.
Where 0,1, 2 represents s, p, and d orbitals respectively.
So here $l$ = 0
Possible value of $m_{l}$ = 0
Possible values of $m_{s}$ =+(1/2) or –(1/2)
b)
For a 4p orbital,
$n$ = 2
Possible values of ‘l’ are = 0, 1,2, 3.
Where 0,1, 2, 3 represents s, p,d, and f orbitals respectively.
So here $l$ = 1
Possible values of $m_{l}$ = -1, 0, +1
Possible values of $m_{s}$ =+(1/2) or –(1/2)
c)
For a 3d orbital,
$n$ = 3
Possible values of ‘l’ are = 0, 1, 2.
Where 0,1, 2, represents s, p, and d orbitals respectively.
So here $l$ = 2
Possible values of $m_{l}$ = -2, -1, 0, +1, +2.
Possible values of $m_{s}$ =+(1/2) or –(1/2)
