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Chemistry Question on atom structure models

The relation between nm (nm = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is

A

l = 2nm + 1

B

nm = 2l2 + 1

C

nm = l + 2

D

l=nm−12l=\frac {n_m-1}{2}

Answer

l=nm−12l=\frac {n_m-1}{2}

Explanation

Solution

Number of possible magnetic quantum numbers for a given value of azimuthal quantum (l).
nm = 2l +1
l=nm−12l=\frac {n_m-1}{2}
Therefore, The correct option is (D): l=nm−12l=\frac {n_m-1}{2}