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Number of complexes with even number of electrons in \(t_{2g}\) orbitals is

\([Fe(H_2O)_6]^{ 2+}, [Co(H_2O)_6] ^{2+}, [Co(H_2O)_6] ^{3+} , [Cu(H_2O)_6] ^{2+}, [Cr(H_2O)_6] ^{2+}\)

(1) 1 

(2) 3 

(3) 2 

(4) 5

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Correct option is (2) 3 

\( {\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{+2} \rightarrow \mathrm{d}^6 \mathrm{WFL} \rightarrow \mathrm{t}_{2 \mathrm{~g}}^4 \mathrm{eg}^2 \text { (even no of } \mathrm{e}^{-} \text {in } \mathrm{t}_{2 \mathrm{~g}} \text { ) }}\)

\({\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{+2} \mathrm{~d}^7 \rightarrow \mathrm{WFL} \rightarrow \mathrm{t}_{2 \mathrm{~g}}^5 \mathrm{eg}^2 \text { (odd no of } \mathrm{e}^{-} \text {in } \mathrm{t}_{2 \mathrm{~g}} \text { ) }} \)

\({\left[\mathrm{Co}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{+3} \rightarrow \mathrm{d}^6 \mathrm{SFL} \rightarrow \mathrm{t}_{2 \mathrm{~g}}^6 \mathrm{eg}^{\circ} \text { (even no of } \mathrm{e}^{-} \text {in } \mathrm{t}_{2 \mathrm{~g}} \text { ) }} \)

\({\left[\mathrm{Cu}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{+2} \mathrm{~d}^4 \rightarrow \text { WFL t }_{2 \mathrm{~g}}^6 \mathrm{eg}^3 \text { (even no e } \mathrm{e}^{-} \text {in } \mathrm{t}_{2 \mathrm{~g}} \text { ) }}\)

\({\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{+2} \mathrm{~d}^4 \rightarrow \text { WFL t }_{2 \mathrm{~g}}^3 \mathrm{eg}^1 \text { (odd no of } \mathrm{e}^{-} \text {in } \mathrm{t}_{2 \mathrm{~g}} \text { ) }} \)

Thus three complex show even no of \(e^-\) in \(t_{2g}\) orbital.

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