Step 1: Understand ionization isomerism
Ionization isomers have the same formula but give different ions in solution, because a ligand and the counter ion are exchanged.
Step 2: Original complex
\([Cr(H_2O)_4Cl(NO_2)]Cl\) has \(Cl^-\) and \(NO_2^-\) in the sphere and a free \(Cl^-\) outside.
Step 3: Exchange
Swap the outside \(Cl^-\) with the inside \(NO_2^-\). The result is \([Cr(H_2O)_4Cl_2]NO_2\), option (B).
Step 4: Why others are wrong
(A) has a different formula, with a different count of chlorine. (C) is a linkage isomer, because \(ONO\) is the nitrito form of the ligand. (D) has a different number of water molecules and a different formula.
Final Answer:
Option B is the ionization isomer.
\[ \boxed{\text{(B)}\ [Cr(H_2O)_4Cl_2]NO_2} \]