Concept:
Coordination compounds can show different types of isomerism when ligands or ions exchange positions.
Ionisation isomerism occurs when:
- One ion inside coordination sphere exchanges place with counter ion outside sphere.
- Both compounds give different ions in solution.
Step 1: Write both complexes clearly.
First complex:
$$[\text{Co(NH}_3)_5(\text{SO}_4)]Br$$
Here:
- SO$_4^{2-}$ is inside coordination sphere.
- Br$^-$ is outside as counter ion.
Second complex:
$$[\text{Co(NH}_3)_5Br]\text{SO}_4$$
Here:
- Br$^-$ is inside coordination sphere.
- SO$_4^{2-}$ is outside as counter ion.
Step 2: Observe the interchange.
The ligand inside and ion outside have exchanged positions:
$$\text{SO}_4^{2-} \leftrightarrow Br^-$$
This is the defining feature of ionisation isomerism.
Step 3: Why other options are wrong?}}
- Linkage isomerism: same ligand binds through different donor atoms.
- Coordinate isomerism: ligand exchange between cationic and anionic complexes.
- Geometrical isomerism: cis-trans / fac-mer arrangement.
- Optical isomerism: non-superimposable mirror images.
None of these apply here.
Step 4: Final answer.
Therefore the complexes exhibit:
$$\boxed{\text{Ionisation isomerism}}$$
Hence correct option is
(A). :contentReference[oaicite:0]{index=0}