Question
Of the following, the one with largest size is

Answer

a
Let's compare these elements using their electronic configuration and number of protons.

$Cl ^{-}-1 s ^2 2 s ^2 2 p ^6 3 s ^2 3 p ^6$

It has 18 electrons and $17$ protons

Ar $-1 s^2 2 s^2 2 p^6 3 s^2 3 p^6$

It has 18 electrons and $18$ protons

$K ^{+}-1 s ^2 2 s ^2 2 p ^6 3 s ^2 3 p ^6$

It has 18 electrons and 19 protons

$Ca ^{2+}-1 s ^2 2 s ^2 2 p ^6 3 s ^2 3 p^6$

It has 18 electrons and $20$ protons

From this information, we can easily conclude that $Cl ^{-}$would be the largest because it has a higher number of electrons as compared to protons and so the 'effective nuclear charge' would be lower on each electron.

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