Number of $π$ -bonding electrons in $C_{2}^{- 2}$ is X
Number of $π$ -bonding electrons in $C_{2}$ is Y
Number of $σ$ - bonding electrons in $B_{2}$ is Z
Find the value of (X + Y – Z)
Consider all given species are in electronically ground energy state

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answer is 4.

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Detailed Solution

i) $\underset{(14)}{C_{2}^{- 2}} σ_{1 s}^{2} σ_{1 s^{2}}^{*} σ_{2 s^{2}}^{} σ_{2 s^{2}}^{*} π 2 p_{x}^{2} π 2 p_{y}^{2} σ 2 p_{z}^{2}$
X = 4
ii) $\underset{(12)}{C_{2}} σ_{1 s^{2}} σ_{1 s^{2}}^{*} σ_{2 s^{2}}^{} σ_{2 s^{2}}^{*} π 2 p_{x}^{2} π 2 p_{y}^{2}$
Y = 2
iii) $\underset{(10)}{B_{2}} σ_{1 s^{2}} σ_{1 s^{2}}^{*} σ_{2 s^{2}}^{} σ_{2 s^{2}}^{*} π 2 p_{x}^{1} π 2 p_{y}^{1}$
Z = 4
X + Y + Z = 10