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neet CHEMISTRYMedium

The relation between nmn_m, (nmn_m = the number of permissible values of magnetic quantum number (mm)) for a given value of azimuthal quantum number (ll), is

1

l=nm−12l = \frac{n_m - 1}{2}

2

l=2nm+1l = 2n_m + 1

3

nm=2l2+1n_m = 2l^2 + 1

4

nm=l+2n_m = l + 2

Step-by-Step Solution

For a given azimuthal quantum number ll, the magnetic quantum number mm can take values from −l-l to +l+l, including zero. The total number of values is nm=2l+1n_m = 2l + 1. Rearranging for ll, we get nm−1=2ln_m - 1 = 2l, so l=nm−12l = \frac{n_m - 1}{2}.

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