Step 1: Recall the Bohr–Bury rules for electronic configuration:
Maximum electrons in a shell = $2n^2$.
The outermost shell can have a maximum of 8 electrons.
The penultimate shell can have a maximum of 18 electrons, but if the outermost shell has electrons, the penultimate shell cannot have more than 8 electrons.
Step 2: Examine option (A):
$2, 8, 13, 1$
Here, the outermost shell has 1 electron, but the penultimate shell has 13 electrons, which violates the Bohr–Bury rule.
Step 3: Check the remaining options:
(B) $2, 8, 12, 2$ — valid as per Bohr–Bury rules.
(C) $2, 8, 8, 1$ — valid.
(D) $2, 8, 8, 2$ — valid.
Step 4: Therefore, the incorrect electronic arrangement is 2, 8, 13, 1.