Final answer:
In [Pt(NH3)2Cl2], the Pt-NH3 bonds are shorter than Pt-Cl bonds due to the smaller size of ammonia. This explains geometric differences resulting in varying bond lengths within the square planar structure of the complex.
Step-by-step explanation:
In the [Pt(NH3)2Cl2] coordination compound, which exhibits a square planar geometry, different bond lengths arise due to the differences in ligand sizes and their bonding interactions with the central platinum atom.
The bond lengths observed in cisplatin, a form of this compound, show that Pt-NH3 bonds are shorter (about 2.04 Å) compared to Pt-Cl bonds (ranging from 2.298 Å to 2.325 Å) due to the smaller size of the ammonia molecule allowing for a closer approach to platinum.
Due to this dissimilarity in ligand size and electronic properties, Pt-NH3 and Pt-Cl bonds have different bond lengths within the complex. Consequently, option (c), stating that all bond lengths are equal, is incorrect since the [Pt(NH3)2Cl2] complex has non-equivalent ligands leading to varying Pt-ligand distances.