Question

For a particular value of azimuthal quantum number (I), the total number of
magnetic quantum number (m) in given by:​

Answer 1

$\bigstar$ Answer:

⇒ For the azimuthal quantum number ($l$) the total number of magnetic quantum number ($m$) is given by the formula,

$\boxed{\blue{\large\boxed{{ {l = \dfrac{m - 1}{2} }}}}}$

⇒ For a given value of $l$, $m$ can have values from $-l$ to $+l$ through zero. Thus, for each value of $l$, there will be total 2$l$+1 values of m.

$\checkmark\;\; m=-l \;to\;+l$

Generally,

$\implies m = 2l + 1}}$

$\implies m-1 = 2l}$

Therefore,

$\implies l = \dfrac{m-1}{2}$