What are the total number of electrons present in $s$ and $p$ orbitals respectively in the ground state of an argon atom $(Z = 18)$?

  • A
    $12$ and $6$
  • B
    $8$ and $12$
  • C
    $6$ and $12$
  • D
    $18$ and $6$

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The angular part of the wave function for an orbital is given by $\psi_{(\theta, \phi)} = \left( \frac{15}{4\pi} \right)^{1/2} \sin \theta \cos \theta \sin \phi$,where $\theta$ is the angle from the $z$-axis. The angular node$(s)$ are:

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