The wavelength of light absorbed for the following complexes are in the order:
$I: [Co(NH_3)_6]^{3+}; II: [Co(H_2O)_6]^{3+}; III: [Co(CN)_6]^{3-}; IV: [Co(NH_3)_5(H_2O)]^{3+}; V: [CoF_6]^{3-}$

Given below are two statements $:$
Statement $(I) :$ In octahedral complexes,when $\Delta_{o} < P$ high spin complexes are formed. When $\Delta_{o} > P$ low spin complexes are formed.
Statement $(II) :$ In tetrahedral complexes because of $\Delta_{t} < P$,low spin complexes are rarely formed.
In the light of the above statements,choose the most appropriate answer from the options given below $:$

For which of the following pairs of complexes is the crystal field splitting energy $\Delta_0$ for $II > \Delta_0$ for $I$?

$I$	$II$
$(a). [Cr(H_2O)_6]^{2+}$	$[Cr(H_2O)_6]^{3+}$
$(b). [Fe(H_2O)_6]^{3+}$	$[Fe(CN)_6]^{3-}$
$(c). [Fe(CN)_6]^{3-}$	$[Ru(CN)_6]^{3-}$
$(d). [NiF_6]^{4-}$	$[NiF_6]^{2-}$

In an octahedral crystal field,the $t_{2g}$ orbitals are:

Match the following complexes in List-$I$ with their electronic configurations in List-$II$.

List-$I$ (Complex)	List-$II$ (Electronic configuration of metal/ion)
$A. [Co(NH_3)_6]^{3+}$	$I. t_{2g}^5 e_g^0$
$B. [CoF_6]^{3-}$	$II. t_{2g}^6 e_g^0$
$C. [Ni(CO)_4]$	$III. t_{2g}^4 e_g^2$
$D. [Fe(CN)_6]^{3-}$	$IV. t^4 e^6$

Using crystal field theory,draw energy level diagrams,write the electronic configuration of the central metal atom/ion,and determine the magnetic moment value for the following:
$(i)$ $[CoF_{6}]^{3-}, [Co(H_{2}O)_{6}]^{2+}, [Co(CN)_{6}]^{3-}$
$(ii)$ $[FeF_{6}]^{3-}, [Fe(H_{2}O)_{6}]^{2+}, [Fe(CN)_{6}]^{4-}$