$(I)$ $\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Br}_{2}$
$(II)$ $ \mathrm{Na}_{4}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]$
$(III)$ $\mathrm{Na}_{3}\left[\mathrm{Fe}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]\left(\Delta_{0}>\mathrm{P}\right)$
$(IV)$ $\left(\mathrm{Et}_{4} \mathrm{N}\right)_{2}\left[\mathrm{CoCl}_{4}\right]$
$\mathrm{Cr}^{+2} \Rightarrow[\mathrm{Ar}] 3 \mathrm{d}^{4}$
$\mathrm{H}_{2} \mathrm{O} \rightarrow$ Weak field ligand
$\text { Unpaired } \mathrm{e}^{-}=4$
$\text { Magnetic moment } =\sqrt{24} \mathrm{BM} =4.89 \mathrm{BM}$
$(II)\;\;\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{4-}$
$\mathrm{Fe}^{+2} \Rightarrow[\mathrm{Ar}] 3 \mathrm{d}^{6}$
$\mathrm{CN}^{-} \rightarrow$ Strong field ligand
Unpaired $\mathrm{e}^{-}=0$
Magnetic moment $=0 \mathrm{BM}$ $=0 \mathrm{BM}$
$\mathrm{III}\;\;\left[\mathrm{Fe}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]^{3-}$
$\mathrm{Fe}^{+3} \Rightarrow[\mathrm{Ar}] 3 \mathrm{d}^{5}$
As $\Delta_{0}>P$
Unpaired $\mathrm{e}^{-}=1$
$\text { Magnetic moment } =\sqrt{3} \mathrm{BM}$$=1.73 \mathrm{BM}$
$(IV)\;\;\left(\mathrm{Et}_{4} \mathrm{N}\right)^{+}\left[\mathrm{CoCl}_{4}\right]^{2-}$
$\mathrm{Co}^{+2} \Rightarrow[\mathrm{Ar}] 3 \mathrm{d}^{7}$
Unpaired electrons $=3$
$\begin{aligned} \text { Magnetic moment } &=\sqrt{15} \mathrm{BM} \\ &=3.87 \mathrm{BM} \end{aligned}$
Hence order of magnetic moment is $I>IV>III>II$
($en=$ ઇથિલીન ડાય એમાઈન)
$(I)\, [CrCl_2(NO_2)_2(NH_3)_2]^-$ $(II)\, [Co(NO_2)_3(NH_3)_3]$
$(III)\, [PtCl(NO_2)(NH_3 )(py)]$ $(IV)\, [PtBrCl(en)]$
$(I)\,\,\,-\,\,\,(II)\,\,\,-\,\,\,(III)\,\,\,-\,\,\,(IV)$