Complex X of composition $Cr{\left(H_{2}O\right)}_{6}C{l}_n$ has a spin only magnetic moment of 3.83 BM. It reacts with $AgN{O}_3$ and shows geometrical isomerism. The IUPAC name of X is:

 $$\begin{gathered} \mu =\sqrt{n(n+2)}B.M=3.83B.M. \\ n=3(n=No.ofunpaired{e}^{-}) \end{gathered}$$
Therefore, oxidation number of Cr should be+3.
Hence complex is  $Cr{\left(H_{2}O\right)}_{6}C{l}_3$
Complex shows geometrical isomerism, therefore formula of complex is  $\left[Cr{\left(H_{2}O\right)}_{4}C{l}_2\right]Cl.2H_{2}O$
IUPAC Name : Tetraaquadichlorido chromium (III) chloride dihydrate