Which of the following is not possible?

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(B) According to the Pauli Exclusion Principle,no two electrons in an atom can have the same set of all four quantum numbers $(n, l, m_l, m_s)$.Option

Vedclass · Accepted Answer

$A$ $4d$ electron may have $n = 4$ and $l = 3$.

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(B) According to the Pauli Exclusion Principle,no two electrons in an atom can have the same set of all four quantum numbers $(n, l, m_l, m_s)$.Option $A$ states that two electrons may have identical values of $n, l,$ and $m$. This is possible if they have different spin quantum numbers ($m_s = +1/2$ and $-1/2$).Option $B$ states a $4d$ electron has $n = 4$ and $l = 3$. For a $d-$orbital,the azimuthal quantum number $l$ must be $2$. Therefore,$l = 3$ corresponds to an $f-$orbital,making this statement impossible.Option $C$ and $D$ are possible according to Hund's Rule and the Pauli Exclusion Principle for electrons in different $p-$orbitals or the same orbital.

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

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