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The total number of magnetic quantum numbers for a $d$-orbital is given by

The total number of electrons in all orbitals having principal quantum number $n = 2$ and azimuthal quantum number $l = 1$ is ..........

The relation between $n_m$ (the number of permissible values of magnetic quantum number $m$) for a given value of azimuthal quantum number $l$ is:

How many electrons can be accommodated in a sub-shell for which $n = 3, l = 1$?

Select the correct statements for quantum numbers.
$(i)$ Magnetic quantum number $(m_l)$ gives information about the spatial orientation of orbitals with respect to the standard set of coordinate axes.
$(ii)$ Electron spin quantum number is represented by '$s$' and has values of $\pm \frac{1}{2}$.
$(iii)$ Principal quantum number $(n)$ determines the size of the orbitals and also,to a large extent,the energy of the orbitals.

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