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The relation between $n_m$ ($n_m$ = the number of permissible values of magnetic quantum number $(m)$) for a given value of azimuthal quantum number $(l)$, is
A
$n_m=l+2$
B
$l=\frac{n_m-1}{2}$
C
$l=2n_m+1$
D
$n_m=2l^2+1$
Explanation
$n_m=2l+1$, hence $l=\frac{n_m-1}{2}$.
Detailed Solution
$n_m=2l+1$
As there are $(2l+1)$ number of permissible values of magnetic quantum number.
Hence, $l=\frac{n_m-1}{2}$