The magnetic quantum number for a $d$-orbital is ...... .

  • A
    $2$
  • B
    $0, \pm 1, \pm 2$
  • C
    $0, 1, 2$
  • D
    $5$

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How many radial nodes are present in $4s$ and $3s$ orbitals respectively?

The wave function $(\Psi)$ of $2s$ is given by
$\Psi_{2s} = \frac{1}{2\sqrt{2\pi}} \left(\frac{1}{a_0}\right)^{3/2} \left(2 - \frac{r}{a_0}\right) e^{-r/2a_0}$
At $r = r_0$,a radial node is formed. Thus,$r_0$ in terms of $a_0$ is:

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