Which of the following sets of quantum number | vedclass

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Question

(A) For a set of quantum numbers to be valid,the following rules must be satisfied:$1$. $n$ is a positive integer $(1, 2, 3, ...)$.$2$. $l$ can have v

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) For a set of quantum numbers to be valid,the following rules must be satisfied:$1$. $n$ is a positive integer $(1, 2, 3, ...)$.$2$. $l$ can have values from $0$ to $n-1$.$3$. $m$ can have values from $-l$ to $+l$ (including $0$).$4$. $s$ can be $+1/2$ or $-1/2$.Evaluating the options:$(A)$ $n=3, l=2, m=-3$: Since $l=2$,$m$ can only range from $-2$ to $+2$. Thus,$m=-3$ is invalid.$(B)$ $n=4, l=3, m=3, s=+1/2$: Here $l $(C)$ $n=2, l=1, m=0, s=-1/2$: Here $l $(D)$ $n=4, l=3, m=2, s=+1/2$: Here $l Note: In many textbook contexts,this question is presented as a multiple-choice question where only one is invalid or specific criteria are applied. Given the standard rules,options $B, C,$ and $D$ are physically possible. However,if the question implies selecting the most standard set or identifying an error,$A$ is the only one that violates the rules.

Which of the following sets of quantum numbers is consistent with the rules of quantum mechanics?

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