Concept:
Ionization isomerism occurs when counter ions and ligands interchange between coordination sphere and ionization sphere.
Step 1: Analyze complexes.
• \([Co(NH_3)_5Br]SO_4\) $\rightarrow$ \(Br^-\) inside, \(SO_4^{2-}\) outside
• \([Co(NH_3)_5SO_4]Br\) $\rightarrow$ \(SO_4^{2-}\) inside, \(Br^-\) outside
Step 2: Identify type of isomerism.
Exchange between ligand and counter ion $\rightarrow$ Ionization isomerism