MCQ
The maximum number of electrons in an atom with $l = 2$ and $n = 3$ is
  • A
    $2$
  • B
    $6$
  • C
    $12$
  • $10$

Answer

Correct option: D.
$10$
d
Number Symbol Possible values

Principal quantum number

$n$ $1,2,3,4, \ldots$
Azimuthal quantum number $l$ $0,1,2,3, \ldots .,( n -1)$
Magnetic quantum number $m _l$ $-1, \ldots,-1,0,1, \ldots ., 1$
Spin quantum number $m _{ s }$ $+1 / 2,-1 / 2$

In this case $l=2$

then $m _l=-2,-1,0,+1,+2$

so there are $5$ orbitals and each orbital contain $2$ electrons

So for value $n =3$ and $l =2$ there are $10$ electrons.

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