(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

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

(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.

Class 11 Chemistry Structure of Atom Quantum number, Electronic configuration and Shape of orbitals

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

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A
$n=3, \ell=2, m_l=-2, m_s=+1/2$
B
$n=4, \ell=3, m_l=+1, m_s=+1/2$
C
$n=4, \ell=3, m_l=+4, m_s=+1/2$
D
$n=4, \ell=4, m_l=+4, m_s=-1/2$

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Structure of Atom

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Quantum number, Electronic configuration and Shape of orbitals

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If an atom has $13$ electrons in the $M$ shell and $1$ electron in the $N$ shell,then the number of unpaired electrons in that atom is ...

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$(a)$ How many sub-shells are associated with $n=4?$
$(b)$ How many electrons will be present in the sub-shells having $m_{s}$ value of $-1/2$ for $n=4?$

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The general configuration of the outermost and penultimate shell is $(n - 1)s^2 (n - 1)p^6 (n - 1)d^x ns^2$. If $n = 4$ and $x = 5$,then the number of protons in the nucleus will be:

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The plot of $r^2 \Psi^2$ versus $r$ for $2s$ orbital of hydrogen atom exhibits :-

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The atom of the element having atomic number $14$ should have:

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

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If an atom has $13$ electrons in the $M$ shell and $1$ electron in the $N$ shell,then the number of unpaired electrons in that atom is ...

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The general configuration of the outermost and penultimate shell is $(n - 1)s^2 (n - 1)p^6 (n - 1)d^x ns^2$. If $n = 4$ and $x = 5$,then the number of protons in the nucleus will be:

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$(a)$ How many sub-shells are associated with $n=4?$
$(b)$ How many electrons will be present in the sub-shells having $m_{s}$ value of $-1/2$ for $n=4?$