Which of the following sets of quantum number | vedclass

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(D) For a given principal quantum number $n$,the azimuthal quantum number $l$ can have values from $0$ to $n-1$.For $n = 4$,$l$ can be $0, 1, 2, 3$.Op

Vedclass · Accepted Answer

$n = 4, l = 3, m = -2, s = +\frac{1}{2}$

Vedclass · Answer

(D) For a given principal quantum number $n$,the azimuthal quantum number $l$ can have values from $0$ to $n-1$.For $n = 4$,$l$ can be $0, 1, 2, 3$.Option $A$ is incorrect because the spin quantum number $s$ can only be $+\frac{1}{2}$ or $-\frac{1}{2}$,not $0$.Options $B$ and $C$ are incorrect because $l$ cannot be equal to $n$ ($l$ must be less than $n$).Option $D$ is correct because $n = 4$,$l = 3$ (which is $< 4$),$m = -2$ (which is within the range $-l$ to $+l$),and $s = +\frac{1}{2}$ (which is a valid spin value).

Which of the following sets of quantum numbers is possible?

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