JEE Main 2024 — 9 April, Shift 2 — Question 81

${{\text{O}}_{2}}\left( 16\text{e} \right):{{\left( {{\sigma }_{1\text{ }\!\!~\!\!\text{ s}}} \right)}^{2}}{{\left( \sigma _{1\text{ }\!\!~\!\!\text{ s}}^{\text{*}} \right)}^{2}}{{\left( {{\sigma }_{2\text{ }\!\!~\!\!\text{ s}}} \right)}^{2}}{{\left( \sigma _{2\text{ }\!\!~\!\!\text{ s}}^{\text{*}} \right)}^{2}}$

${{\left( {{\sigma }_{2p}} \right)}^{2}}\left[ {{\left( {{\pi }_{2p}} \right)}^{2}}={{\left( {{\pi }_{2p}} \right)}^{2}} \right],\left[ {{\left( \pi _{2p}^{\text{*}} \right)}^{1}}={{\left( \pi _{2p}^{\text{*}} \right)}^{1}} \right]$

Number of ${{\text{e}}^{-}}$present in $\left( {{\pi }^{\text{*}}} \right)$ of ${{\text{O}}_{2}}=2$ Number of ${{\text{e}}^{-}}$present in $\left( {{\pi }^{\text{*}}} \right)$ of $\text{O}_{2}^{+}=1$ Number of ${{\text{e}}^{-}}$present in $\left( {{\pi }^{\text{*}}} \right)$ of $\text{O}_{2}^{-}=3$ So total ${{\text{e}}^{-}}$in $\left( {{\pi }^{\text{*}}} \right)=2+1+3=6$