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# According MO theory,which of the following species has the shortest bond length?

$\begin{array}{1 1}(a)\;O_2^{2+}&(b)\; O_2^+\\(c)\;O_2^-&(d)\;O_2^{2-}\end{array}$

$O_2^{2+}$ bond order is 3.0
$O_2^{+}$ bond order is 2.5
$O_2^-$ bond order is 1.5
$O_2^{2-}$ bond order is 1.0
$\text{Bond length} \propto \large\frac{1}{\text{Bond order}}$
Here the shortest bond has $O_2^{2+}$
Hence (a) is the correct answer.