( l and m are respectively the azimuthal and magnetic quantum numbers) column Icolumn II (a)Total number of values of (l) for a shell (p)0,1,2,…(n−1)(b)Value of (l) for a shell (q)+1,…,+2,+1,0,−1,−2,….,−1(c )Total number of values of (m) for a subshell(r)(2l+1)(d)Values of (m) for a subshell (s)n

( l and m are respectively the azimuthal and magnetic quantum numbers)
column I column II
(a) Total number of values of (l) for a shell (p) $0, 1, 2, \dots (n - 1)$
(b) Value of (l) for a shell (q) $\begin{aligned} + 1, \dots, + 2, + 1, 0, - 1, - 2, \\ \dots ., - 1 \end{aligned}$
(c ) Total number of values of (m) for a subshell (r) $(2 l + 1)$
(d) Values of (m) for a subshell (s) n

A
$(a - s); (b - p); (c - p); (d - q)$
B
$(a - r); (b - p); (c - s); (d - q)$
C
$(a - s); (b - a); (c - p); (d - p)$
D
$(a - s); (b - p); (q - p); (d - c)$

Solution:

Total number of values of (l) for a shell,

$\begin{aligned} + 1, \dots, + 2, + 1, 0, - 1, - 2, \end{aligned} \dots ., - 1$

The value of (l) for a shell goes from 0 to (n-1).

Total number of values of (m) for a subshell goes from 0 to (n-1).

Values of (m) for a subshell +1 to -1 .

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