Step 1: Define an anionic sphere complex.
An anionic sphere complex is a coordination complex in which the complex ion carries a net negative charge.
We need to identify the option whose coordination sphere itself is negatively charged.
Step 2: Analyze Option A: Hexaamminecobalt(III) chloride.
The complex ion is:
\[
[Co(NH_3)_6]^{3+}
\]
Cobalt is in +3 oxidation state and ammonia is a neutral ligand. Therefore, the complex ion has a positive charge.
Hence, this is a cationic complex.
Step 3: Analyze Option B: Potassium hexacyanoferrate(II).
The complex ion is:
\[
[Fe(CN)_6]^{4-}
\]
Iron is in +2 oxidation state and each cyanide ligand carries -1 charge.
\[
+2 + 6(-1) = -4
\]
Thus, the complex ion has a net negative charge.
Hence, this is an anionic complex.
Step 4: Analyze Option C: Tetraamminedichlorocobalt(III) ion.
The complex ion is:
\[
[Co(NH_3)_4Cl_2]^+
\]
Charge calculation:
\[
+3 + 2(-1) = +1
\]
Thus, it is cationic.
Step 5: Analyze Option D: Pentaamminechlorocobalt(III) sulphate.
The complex ion is:
\[
[Co(NH_3)_5Cl]^{2+}
\]
Charge calculation:
\[
+3 + (-1) = +2
\]
Thus, it is cationic.
Step 6: Conclusion.
Only Potassium hexacyanoferrate(II) contains a negatively charged complex ion:
\[
[Fe(CN)_6]^{4-}
\]
Therefore, it is the anionic sphere complex.