Answer:
(b)
\[{{O}_{2}}:\,\,\,\,KK\sigma
{{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\sigma {{(2{{p}_{z}})}^{2}}\pi
{{(2{{p}_{x}})}^{2}}\pi {{(2{{p}_{y}})}^{2}}{{\pi }^{*}}{{(2{{p}_{x}})}^{1}}\]\[{{\pi
}^{*}}{{(2{{p}_{y}})}^{1}}\]
\[{{\pi
}^{*}}{{(2{{p}_{y}})}^{1}}\]
\[O_{2}^{+}:\,\,\,\,KK\sigma
{{(2s)}^{2}}{{\sigma }^{*}}{{(2s)}^{2}}\sigma {{(2{{p}_{z}})}^{2}}\pi
{{(2{{p}_{x}})}^{2}}\pi {{(2{{p}_{y}})}^{2}}{{\pi }^{*}}{{(2{{p}_{x}})}^{1}}\]Bond
order, \[{{O}_{2}}\,\,\,\,\,\,\,\,\,\frac{8-4}{2}=2.0\]
Bond
order, \[O_{2}^{-}\,\,\,\,\,\,\,\,\,\frac{8-5}{2}=1.5\]
Bond
order \[O_{2}^{+}\,\,\,\,\,\,\,\,\,\frac{8-3}{2}=2.5\]
\[\therefore
\] \[O_{2}^{+}>{{O}_{2}}>O_{2}^{-}\]or \[O_{2}^{-}<{{O}_{2}}<O_{2}^{+}\]
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