Step 1: Understanding the Concept
In a homoleptic complex the metal is bonded to only one kind of ligand. In a heteroleptic complex the metal is bonded to more than one kind of ligand.
Step 2: Check option (A)
Pentacarbonyliron(0): only CO ligands. Homoleptic.
Step 3: Check option (B)
Triamminetrinitrocobalt(III): three \(\text{NH}_3\) ligands and three \(\text{NO}_2^-\) ligands. Two different ligands, so it is heteroleptic. Formula: \([\text{Co(NH}_3)_3(\text{NO}_2)_3]\).
Step 4: Check option (C)
Tetraamminecopper(II) ion: only ammine ligands. Homoleptic.
Step 5: Check option (D)
Tetracyanonickelate(II) ion: only cyanide ligands. Homoleptic.
Final Answer:
Triamminetrinitrocobalt(III) has two types of ligand, so it is heteroleptic, option (B).
\[ \boxed{\text{Triamminetrinitrocobalt(III)}} \]