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The species which has one unpaired electron in sigma anti bonding molecular orbital is

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$H_{2}^{+}$

$H_{2}^{-}$

${He}_{2}^{-}$

${Li}_{2}^{+}$

answer is B.

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Detailed Solution

$H_{2}^{+} - {(σ_{1 s}^{})}^{1}; H_{2}^{-} - {(σ_{1 s}^{})}^{2} {(σ_{1 s}^{*})}^{1}; {He}_{2}^{-} = {Li}_{2}^{+} - {(σ_{1 s}^{})}^{2} {(σ_{1 s}^{*})}^{2} {(σ_{2 s}^{})}^{1};$

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