\(\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+} \Rightarrow \mathrm{Cr}^{2+} \Rightarrow 3 \mathrm{~d}^4 \Rightarrow \mathrm{t}_{2 \mathrm{~g}}^{1,1,1}, \mathrm{e}_{\mathrm{g}}^{1,0}\)
No. of unpaired e : 4
\(\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+} \Rightarrow \mathrm{Fe}^{2+} \Rightarrow 3 \mathrm{~d}^6 \Rightarrow \mathrm{t}_{2 \mathrm{~g}}{ }^{2,1,1}, \mathrm{e}_{\mathrm{g}}^{1,1}\)
No. of unpaired e : 4
\(\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_6\right]^{2+} \Rightarrow \mathrm{Fe}^{2+} \Rightarrow 3 \mathrm{~d}^6 \Rightarrow \mathrm{t}_{2 \mathrm{~g}}{ }^{2,1,1}=\mathrm{e}_{\mathrm{g}}^{1,1}\)
No. of unpaired e : 4
\(\left[\mathrm{Co}(\mathrm{OH})_4\right]^{2-} \Rightarrow \mathrm{Co}^{2+} \Rightarrow 3 \mathrm{~d}^{\top} \Rightarrow \mathrm{e}^{2,2}, \mathrm{t}_2{ }^{1,1,1}\)
No. of unpaired e: 3
\(\left[\mathrm{CoCl}_4\right]^{2-} \Rightarrow \mathrm{Co}^{2+} \Rightarrow 3 \mathrm{~d}^7 \Rightarrow \mathrm{e}^{2,2}, \mathrm{t}_2^{1,1,1}\)
No. of unpaired \(\mathrm{e}: 3\)
\(\left[\mathrm{Mn}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+} \Rightarrow \mathrm{Mn}^{2+} \Rightarrow 3 \mathrm{~d}^5 \Rightarrow \mathrm{t}_{2 \mathrm{~g}}{ }^{1,1,1}=\mathrm{e}_{\mathrm{g}}^{1,1}\)
No. of unpaired e : 5
So \(\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}\) and \(\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}\) have same magnetic moment (spin only).