Which of the following sets of quantum number | vedclass

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Question

(A) For a $4f$ orbital,the principal quantum number $n = 4$.The azimuthal quantum number $l$ for an $f$ orbital is $3$ (since $l = 0, 1, 2, 3$ corresp

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) For a $4f$ orbital,the principal quantum number $n = 4$.The azimuthal quantum number $l$ for an $f$ orbital is $3$ (since $l = 0, 1, 2, 3$ correspond to $s, p, d, f$ orbitals respectively).The magnetic quantum number $m$ can take values from $-l$ to $+l$,i.e.,$m = \{-3, -2, -1, 0, +1, +2, +3\}$.The spin quantum number $s$ can be either $+\frac{1}{2}$ or $-\frac{1}{2}$.Comparing these with the given options,option $A$ $(n = 4, l = 3, m = +1, s = +\frac{1}{2})$ satisfies all conditions.

Set	$(n, l, m_l)$
$A$	$(3, 3, -3)$
$B$	$(3, 2, -2)$
$C$	$(2, 1, +1)$
$D$	$(2, 2, +2)$

Which of the following sets of quantum numbers is correct for an electron in a $4f$ orbital?

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Consider the following sets of quantum numbers $(n, l, m_l)$:

Set $(n, l, m_l)$

$A$ $(3, 3, -3)$

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$C$ $(2, 1, +1)$

$D$ $(2, 2, +2)$

The number of correct sets of quantum numbers is $....$.

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