Question

For a given value of $\text{'}\mathcal{l}\text{'}$, the total number of ‘m’ values is ________.

Answer 1

1. The value of the magnetic quantum number( ${\mathrm{m}}_{\mathrm{l}}$) depends on the value of the azimuthal quantum number ($\mathcal{l}$).
2. The magnetic quantum number refers to the different orientations of the electrons present in a sublevel.
3. For a given value of '$\mathcal{l}$', there are $(2\mathcal{l}+1)$ permitted integer values of magnetic quantum number which range from $-\mathcal{l}$to $+\mathcal{l}$ including zero.

Hence, for a given value of $\text{'}\mathcal{l}\text{'}$, the total number of ‘m’ values is (2l + 1).