An electron has a magnetic quantum number of $-3$. Its principal quantum number can be

Explain,giving reasons,which of the following sets of quantum numbers are not possible.
$(a)$ $n=0, l=0, m_{l}=0, m_{s}=+\frac{1}{2}$
$(b)$ $n=1, l=0, m_{l}=0, m_{s}=-\frac{1}{2}$
$(c)$ $n=1, l=1, m_{l}=0, m_{s}=+\frac{1}{2}$
$(d)$ $n=2, l=1, m_{l}=0, m_{s}=-\frac{1}{2}$
$(e)$ $n=3, l=3, m_{l}=-3, m_{s}=+\frac{1}{2}$
$(f)$ $n=3, l=1, m_{l}=0, m_{s}=+\frac{1}{2}$

Which one of the following is the correct set of four quantum numbers $(n, l, m, s)$?

What is the decreasing order of energy for the $2s$-orbital of $H, Li, Na$,and $K$ atoms?

Using $s, p, d, f$ notations,describe the orbital with the following quantum numbers:
$(a) n=2, l=1$
$(b) n=4, l=0$
$(c) n=5, l=3$
$(d) n=3, l=2$

Total number of ions from the following with noble gas configuration is . . . . . . .
$Sr^{2+} (Z=38), Cs^{+} (Z=55), La^{2+} (Z=57), Pb^{2+} (Z=82), Yb^{2+} (Z=70) \text{ and } Fe^{2+} (Z=26)$