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Q. Which species has the shortest bond length & diamagnetic ?

Solution:

$\begin{matrix}C_{2}^{2-}&\Rightarrow &B.O.&\Rightarrow &3&\text{Diamagnetic}\\ O_{2}^{2-}&\Rightarrow &B.O.&\Rightarrow &1&\text{Diamagnetic}\\ O_{2}&\Rightarrow &B.O.&\Rightarrow &2&\text{Paramagnetic}\\ N_{2}^{2-}& \Rightarrow &B.O.&\Rightarrow &2&\text{Paramagnetic}\end{matrix}$
Bond length $\propto \frac{1}{\text{Bondorer}}$