The relation between , ( = the number of permissible values of magnetic quantum number ()) for a given value of azimuthal quantum number (), is [2023]

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Solution

Q.
The relation between $n_{m}$ , ( $n_{m}$ = the number of permissible values of magnetic quantum number ( $m$ )) for a given value of azimuthal quantum number ( $l$ ), is [2023]

1 $n_{m} = 2 l^{2} + 1$

2 $n_{m} = l + 2$

3 $l = \frac{n_{m} - 1}{2}$

4 $l = 2 n_{m} + 1$

Ans.
(3)

$n_{m} = 2 l + 1 or l = \frac{n_{m} - 1}{2}$

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