If $m =$ magnetic quantum number, $l =$ azimuthal quantum number, then:

m = l + 2

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m = 2 l^{2} + 1

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l = \frac{m - 1}{2}

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l = 2 m + 1

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Solution

The correct option is C $l = \frac{m - 1}{2}$
Magnetic quantum number ' $m$ ' lies between $(- l, 0, + l)$ ; thus total possible values of ' $m$ ' will be $(2 l + 1)$ .

$m = 2 l + 1$ ,

i.e., $l = \frac{m - 1}{2}$ .

Hence, the correct option is $C$

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