$(I)\, IUPAC$ name of compound is pentaamminenitrito $-N-$ chrornium $(III)$ tetrachlorozincate $(II)$
$(II)$ It shows geometrical isomerism
$(III)$ It shows linkage isomerism
$(IV)$ It shows coordination isomerism
$(II)$ It does not exhibit geometrical isomerism
$(III)$ It shows linkage isomerism due to presence of ambidentate ligand $NO^-_2$
$(IV)$ Its coordination isomers are :
$[CrCl(NH_3)_5]\,\, [ZnCl_3CNO_2)],$
$[CrCl_2(NH_3)_4] \,\,[ZnCl_2(NO_2)NH_3]$
$[ZnC(NO_2) (NH_3)_3] \,\,[CrCl_4(NH_3)_2]$
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$\begin{align}
\begin{matrix}
O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
H-O-C-C{{H}_{2}}-C{{H}_{2}}-CH-C{{O}_{2}}H \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,| \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underset{\oplus }{\mathop{N}}\,{{H}_{3}} \\
\end{matrix}\,\,\,\,\,(p{{K}_{a}}=2) \\
(p{{K}_{a}}=4)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(p{{K}_{a}}=9) \\
\end{align}$