The Crystal Field Stabilization Energy $(CFSE)$ and magnetic moment (spin-only) of an octahedral aqua complex of a metal ion $(M^{2+})$ are $-0.8\, \Delta_{0}$ and $3.87\, BM$,respectively. Identify $(M^{2+})$:

In which complex is the wavelength of absorbed light the lowest?

If the $CFSE$ of $[Ti(H_2O)_6]^{3+}$ is $-96.0 \ kJ / mol$,this complex will absorb maximum at wavelength $........nm$. (nearest integer)
Assume Planck's constant $(h) = 6.4 \times 10^{-34} \ Js$,Speed of light $(c) = 3.0 \times 10^8 \ m / s$ and Avogadro's constant $(N_A) = 6 \times 10^{23} / mol$.

Homoleptic octahedral complexes of a metal ion $M^{3+}$ with three monodentate ligands $L_1, L_2$ and $L_3$ absorb wavelengths in the region of green,blue and red respectively. The increasing order of the ligand strength is:

Which sets of the $d$-orbitals are directly oriented towards the ligands in octahedral coordination compounds?

The correct statements among $I$ to $III$ are:
$I$. Valence bond theory cannot explain the color exhibited by transition metal complexes.
$II$. Valence bond theory can predict quantitatively the magnetic properties of transition metal complexes.
$III$. Valence bond theory cannot distinguish ligands as weak and strong field ones.