The relation between n_m (the number of permi | vedclass

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(B) For a given azimuthal quantum number $l$, the magnetic quantum number $m$ can take integer values ranging from $-l$ to $+l$, including zero.The to

Vedclass · Accepted Answer

$l = \frac{n_m - 1}{2}$

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(B) For a given azimuthal quantum number $l$, the magnetic quantum number $m$ can take integer values ranging from $-l$ to $+l$, including zero.The total number of permissible values of $m$, denoted as $n_m$, is given by the formula: $n_m = 2l + 1$.To express $l$ in terms of $n_m$, we rearrange the equation:$n_m - 1 = 2l$$l = \frac{n_m - 1}{2}$Both $n_m = 2l + 1$ and $l = \frac{n_m - 1}{2}$ are mathematically equivalent expressions of the same relationship. Since option $B$ is a valid rearrangement, it is correct.

The relation between $n_m$ (the number of permissible values of magnetic quantum number $m$) and the azimuthal quantum number $l$ is given by:

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