Answer
Please see the work below.
Work Step by Step
For a sub-shell representation suffix number represents the principal quantum number ‘$n$’.
For a principal quantum number ‘n’ , angular momentum quantum number $l$ can have values ranging from 0 to (n-1).
For an angular quantum number ‘$l$’ , Magnetic quantum number $m_{l}$ can have values ranging from - $l$ through zero to +$l$ .
a)
For a 2p orbital,
$n$ = 2
Possible values of $l$ are = 0, 1
Where 0 represents s orbital and 1 represents p orbital.
So here $l$ = 1
Possible values of $m_{l}$ = -1, 0, +1
b)
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
c)
For a 5d orbital,
$n$ = 5
Possible values of ‘l’ are = 0, 1, 2, 3, 4.
Where 0,1, 2, 3, 4 represents s, p, d, f, g and h orbitals respectively.
So here l = 2
Possible values of $m_{l}$ = -2, -1, 0, +1, +2.
