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(B) The rules for quantum numbers are as follows:$1$. Principal quantum number $n$ can be any positive integer $(1, 2, 3, ...)$.$2$. Azimuthal quantum

Vedclass · Accepted Answer

$(4, 3, -2, -\frac{1}{2})$

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(B) The rules for quantum numbers are as follows:$1$. Principal quantum number $n$ can be any positive integer $(1, 2, 3, ...)$.$2$. Azimuthal quantum number $\ell$ ranges from $0$ to $n-1$.$3$. Magnetic quantum number $m$ ranges from $-\ell$ to $+\ell$.$4$. Spin quantum number $s$ can be $+\frac{1}{2}$ or $-\frac{1}{2}$.Evaluating the options:$A$: $(3, 0, -1, +\frac{1}{2})$ is incorrect because $m$ cannot be $-1$ when $\ell=0$.$B$: $(4, 3, -2, -\frac{1}{2})$ is correct because for $n=4$, $\ell=3$ is allowed, and for $\ell=3$, $m=-2$ is allowed.$C$: $(3, 1, -2, -\frac{1}{2})$ is incorrect because $m$ cannot be $-2$ when $\ell=1$.$D$: $(4, 2, -3, +\frac{1}{2})$ is incorrect because $m$ cannot be $-3$ when $\ell=2$.

$Set$	$(n)-(l)-(m)-(s)$
$(i)$	$(3)-(2)-(1)-(+1/2)$
$(ii)$	$(2)-(2)-(1)-(+1/2)$
$(iii)$	$(4)-(3)-(-2)-(-1/2)$
$(iv)$	$(1)-(0)-(-1)-(-1/2)$
$(v)$	$(3)-(2)-(3)-(+1/2)$

Which one of the following is the correct set of four quantum numbers $(n, l, m, s)$?

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What is true for $A$ and $B$?

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Consider the following sets of quantum numbers:
$Set$ $(n)-(l)-(m)-(s)$
$(i)$ $(3)-(2)-(1)-(+1/2)$
$(ii)$ $(2)-(2)-(1)-(+1/2)$
$(iii)$ $(4)-(3)-(-2)-(-1/2)$
$(iv)$ $(1)-(0)-(-1)-(-1/2)$
$(v)$ $(3)-(2)-(3)-(+1/2)$

Which of the following sets of quantum numbers is not possible?

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