Which of the following sets of quantum number | vedclass

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(C) For a $3d$-orbital,the principal quantum number $n=3$ and the azimuthal quantum number $l=2$.For $l=2$,the magnetic quantum number $m$ can take an

Vedclass · Accepted Answer

$n=3, l=2, m=-2, s=+\frac{1}{2}$

Vedclass · Answer

(C) For a $3d$-orbital,the principal quantum number $n=3$ and the azimuthal quantum number $l=2$.For $l=2$,the magnetic quantum number $m$ can take any integer value from $-l$ to $+l$,which means $m \in \{-2, -1, 0, +1, +2\}$.The spin quantum number $s$ can be either $+\frac{1}{2}$ or $-\frac{1}{2}$.Comparing these conditions with the given options,option $C$ $(n=3, l=2, m=-2, s=+\frac{1}{2})$ satisfies all the criteria.

Which of the following sets of quantum numbers is correct for an electron in a $3d$-orbital?

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