Which of the following sets of quantum number | vedclass

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Question

(B) For a $4f$ orbital,the principal quantum number $n=4$ and the azimuthal quantum number $\ell=3$. For a given value of $\ell$,the magnetic quantum

Vedclass · Accepted Answer

$n=4, \ell=3, m_l=+1, m_s=+1/2$

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(B) For a $4f$ orbital,the principal quantum number $n=4$ and the azimuthal quantum number $\ell=3$. For a given value of $\ell$,the magnetic quantum number $m_l$ can take values from $-\ell$ to $+\ell$,i.e.,$-3, -2, -1, 0, +1, +2, +3$. Thus,$m_l=+1$ is a valid value. The spin quantum number $m_s$ can be either $+\frac{1}{2}$ or $-\frac{1}{2}$. Therefore,the set $n=4, \ell=3, m_l=+1, m_s=+1/2$ is correct.

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

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