What will be the maximum number of electrons in any atom having quantum numbers $n = 4, l = 2, m = -2$?

The radial part of the wave function is determined by which quantum numbers?

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:

Write about the magnetic quantum number $(m_{l})$.

The electrons identified by quantum numbers $n$ and $l$ :
$A. n=4, l=1$ $B. n=4, l=0$
$C. n=3, l=2$ $D. n=3, l=1$
can be placed in order of increasing energy as :

For the given quantum numbers,write the name of the subshell,the values of the magnetic quantum number $(m_l)$,and the number of orbitals:
$(i) \ n = 3, \ l = 2$
$(ii) \ n = 4, \ l = 3$
$(iii) \ n = 2, \ l = 0$
$(iv) \ n = 5, \ l = 1$