Step 1: Understanding the Question:
We are given two statements related to coordination compounds.
Statement I concerns the number of unpaired electrons (and hence magnetic behavior) of certain complexes.
Statement II asks about identifying pairs consisting only of diamagnetic complexes.
Step 2: Detailed Explanation:
Analysis of Statement I:
We calculate the number of unpaired electrons in each complex.
[Cu(NH₃)₄]²⁺
Copper is in the +2 oxidation state.
Cu²⁺ has the electronic configuration [Ar] 3d⁹.
A d⁹ configuration always contains 1 unpaired electron, irrespective of geometry or ligand field strength.
[Ni(en)₃]²⁺
Nickel is in the +2 oxidation state with configuration [Ar] 3d⁸.
Ethylenediamine (en) is a strong-field ligand and forms an octahedral complex.
The electronic configuration is t₂g⁶ eg², giving 2 unpaired electrons.
[Ni(NH₃)₆]²⁺
Nickel is again in the +2 oxidation state (3d⁸).
NH₃ behaves as a weak-to-moderate field ligand for Ni²⁺, producing a high-spin octahedral complex.
The configuration is t₂g⁶ eg² with 2 unpaired electrons.
[Mn(H₂O)₆]²⁺
Manganese is in the +2 oxidation state with configuration [Ar] 3d⁵.
H₂O is a weak-field ligand, so the complex is high-spin octahedral.
The configuration is t₂g³ eg² with 5 unpaired electrons.
Comparison:
Number of unpaired electrons = 1, 2, 2, and 5.
The maximum is 5 for [Mn(H₂O)₆]²⁺.
Conclusion for Statement I:
Statement I is true.
Analysis of Statement II:
We now determine the magnetic nature of each complex.
[NiCl₄]²⁻
Nickel is in the +2 oxidation state (3d⁸).
Cl⁻ is a weak-field ligand, giving a tetrahedral geometry.
This results in 2 unpaired electrons.
Hence, the complex is paramagnetic.
[Ni(CO)₄]
Nickel is in the 0 oxidation state.
CO is a very strong-field ligand and causes complete pairing, giving a 3d¹⁰ configuration.
There are no unpaired electrons.
The complex is diamagnetic.
[Ni(CN)₄]²⁻
Nickel is in the +2 oxidation state (3d⁸).
CN⁻ is a strong-field ligand and forms a square planar complex.
All electrons are paired.
The complex is diamagnetic.
Evaluation of Pairs:
Pair 1: [NiCl₄]²⁻ (paramagnetic) and [Ni(CO)₄] (diamagnetic) → Not all diamagnetic.
Pair 2: [NiCl₄]²⁻ (paramagnetic) and [Ni(CN)₄]²⁻ (diamagnetic) → Not all diamagnetic.
Pair 3: [Ni(CO)₄] (diamagnetic) and [Ni(CN)₄]²⁻ (diamagnetic) → Both diamagnetic.
Only one such pair exists.
Conclusion for Statement II:
Statement II is false.
Step 3: Final Answer:
Statement I is true and Statement II is false.
Correct option: (B)