NEET 2023, Chemistry Q27: Quantum Numbers

NEET2023Chemistry

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:

A
$l = 2 n_{m} + 1$
B
$n_{m} = 2 l^{2} + 1$
C
$n_{m} = l + 2$
D
$l = \frac{n _{m} - 1}{2}$

Solution

For a given $l$ , the magnetic quantum number $m$ runs from $- l$ to $+ l$ , giving $n_{m} = 2 l + 1$ permitted values.

Rearranging: $l = \frac{n _{m} - 1}{2}$ .

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NEET 2023, Chemistry Q27: Quantum Numbers

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