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(B) We analyze the $d$-electron configuration of each complex in an octahedral field (weak field ligand $H_2O$):$1$. $[Fe(H_2O)_6]^{2+}$: $Fe^{2+}$ is

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$3$

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(B) We analyze the $d$-electron configuration of each complex in an octahedral field (weak field ligand $H_2O$):$1$. $[Fe(H_2O)_6]^{2+}$: $Fe^{2+}$ is $d^6$. Configuration is $t_{2g}^4 e_g^2$. Number of electrons in $t_{2g} = 4$ (even).$2$. $[Co(H_2O)_6]^{2+}$: $Co^{2+}$ is $d^7$. Configuration is $t_{2g}^5 e_g^2$. Number of electrons in $t_{2g} = 5$ (odd).$3$. $[Co(H_2O)_6]^{3+}$: $Co^{3+}$ is $d^6$. Configuration is $t_{2g}^6 e_g^0$. Number of electrons in $t_{2g} = 6$ (even).$4$. $[Cu(H_2O)_6]^{2+}$: $Cu^{2+}$ is $d^9$. Configuration is $t_{2g}^6 e_g^3$. Number of electrons in $t_{2g} = 6$ (even).$5$. $[Cr(H_2O)_6]^{2+}$: $Cr^{2+}$ is $d^4$. Configuration is $t_{2g}^3 e_g^1$. Number of electrons in $t_{2g} = 3$ (odd).The complexes with an even number of electrons in $t_{2g}$ orbitals are $[Fe(H_2O)_6]^{2+}$,$[Co(H_2O)_6]^{3+}$,and $[Cu(H_2O)_6]^{2+}$.Total count = $3$.

Number of complexes with an even number of electrons in $t_{2g}$ orbitals is -
$[Fe(H_2O)_6]^{2+}, [Co(H_2O)_6]^{2+}, [Co(H_2O)_6]^{3+}, [Cu(H_2O)_6]^{2+}, [Cr(H_2O)_6]^{2+}$

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Number of complexes with an even number of electrons in $t_{2g}$ orbitals is -$[Fe(H_2O)_6]^{2+}, [Co(H_2O)_6]^{2+}, [Co(H_2O)_6]^{3+}, [Cu(H_2O)_6]^{2+}, [Cr(H_2O)_6]^{2+}$