Which of the following sets of quantum number | vedclass

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(D) For a set of quantum numbers to be allowed,they must satisfy the following rules:$1$. $n$ (principal quantum number) must be a positive integer $(

Vedclass · Accepted Answer

$n = 3, l = 1, m = 1, s = 1/2$

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(D) For a set of quantum numbers to be allowed,they must satisfy the following rules:$1$. $n$ (principal quantum number) must be a positive integer $(1, 2, 3, \dots)$.$2$. $l$ (azimuthal quantum number) can have values from $0$ to $n-1$.$3$. $m$ (magnetic quantum number) can have values from $-l$ to $+l$ including $0$.$4$. $s$ (spin quantum number) can only be $+1/2$ or $-1/2$.Evaluating the options:- Option $A$: $n=1, l=1$ is not allowed because $l$ must be less than $n$ $(l - Option $B$: $s=1$ is not allowed because $s$ must be $\pm 1/2$.- Option $C$: $n=3, l=0, m=-1$ is not allowed because if $l=0$,then $m$ must be $0$.- Option $D$: $n=3, l=1, m=1, s=1/2$ satisfies all conditions ($l Therefore,the correct set is $D$.

Which of the following sets of quantum numbers is allowed?

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