Q6 / 60 · KVPY 2011 (SA) · Chemistry

The set of principal (n), azimuthal $(\ell)$ and magnetic $\left(\mathrm{m}_{1}\right)$ quantum numbers that is not allowed for the electron in $\mathrm{H}$-atom is

  • A
    $\mathrm{n}=3, \ell=1, \mathrm{~m}_{1}=-1$
  • B
    $\mathrm{n}=3, \ell=0, \mathrm{~m}_{1}=0$
  • C
    $\mathrm{n}=2, \ell=1, \mathrm{~m}_{1}=0$
  • Correct answer
    D
    $\mathrm{n}=2, \ell=2, \mathrm{~m}_{1}=-1$

Solution

$n$ is always greater than $\ell$ and $\mathrm{m}=-\ell \ldots \ldots .0 \ldots \ldots .+\ell$ If $n=2$, then $\ell=0,1$ and $\mathrm{m}_{\ell}=0,\{-1,0,+1\}$

Hence, the correct answer is option: 'D'.

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