To solve this problem, we need to understand the relationship between the magnetic quantum number $m$ and the azimuthal quantum number $l. \\$The magnetic quantum number $m$ can take values from $-l$ to $+l. \\$This means the possible values of $m$ are:$\\ -l, -(l-1), \ldots, -1, 0, 1, \ldots, (l-1), l \\$The total number of permissible values for $m$ is given by counting these values.$\\$The sequence of values is an arithmetic sequence with:$\\$• First term $a_1 = -l \\$• Last term $a_n = l \\$• Common difference $d = 1 \\$The number of terms $n_m$ in this sequence can be calculated using the formula for the number of terms in an arithmetic sequence:$\\ n_m = \frac{a_n - a_1}{d} + 1 \\$Substitute the known values:$\\ n_m = \frac{l - (-l)}{1} + 1 \\ n_m = \frac{l + l}{1} + 1 \\ n_m = 2l + 1 \\$Therefore, the correct relation is $n_m = 2l + 1. \\$This corresponds to Option 2.