All the following complexes show decrease in their weights when placed in a magnetic balance then the group of complexes having tetrahedral geometry is :
`Ni(CO)_(4)`
`K[AgF_(4)]`
`Na_(2)[Zn(CN)_(4)]`
`K_(2)[PtCl_(4)]`
`[RhCl(PPh_(3))_(3)]`

Options

A. II,III,V
B. I,II,III
C. I,III,IV
D. none of these

Answer

To determine which of the given complexes have tetrahedral geometry, we will analyze each complex based on its electronic configuration, oxidation state, and hybridization.

### Step-by-Step Solution:

1. **Analyze `Ni(CO)₄`:**
- Nickel (Ni) has an electronic configuration of [Ar] 3d⁸ 4s².
- In `Ni(CO)₄`, Ni is in the zero oxidation state (0).
- CO is a strong field ligand and leads to the pairing of electrons.
- The hybridization is sp³ (4 coordinate bonds).
- **Geometry:** Tetrahedral.

2. **Analyze `K[AgF₄]`:**
- The oxidation state of Ag in `K[AgF₄]` can be calculated as follows: Let the oxidation state of Ag be x. The equation becomes x + 4(-1) = -1, leading to x = +3.
- The electronic configuration of Ag in +3 state is [Kr] 4d⁸.
- The ligands (F⁻) are strong field ligands, leading to pairing of electrons.
- The hybridization is dsp² (4 coordinate bonds).
- **Geometry:** Square planar.

3. **Analyze `Na₂[Zn(CN)₄]`:**
- The oxidation state of Zn in `Na₂[Zn(CN)₄]` is +2.
- The electronic configuration of Zn in +2 state is [Ar] 3d¹⁰.
- Since the d-orbitals are fully filled, only s and p orbitals are available for hybridization.
- The hybridization is sp³ (4 coordinate bonds).
- **Geometry:** Tetrahedral.

4. **Analyze `K₂[PtCl₄]`:**
- The oxidation state of Pt in `K₂[PtCl₄]` is +2.
- The electronic configuration of Pt in +2 state is [Xe] 4f¹⁴ 5d⁸.
- The ligands (Cl⁻) are strong field ligands, leading to pairing of electrons.
- The hybridization is dsp² (4 coordinate bonds).
- **Geometry:** Square planar.

5. **Analyze `[RhCl(PPh₃)₃]`:**
- The oxidation state of Rh can be determined by considering the charge of the complex.
- Assuming Rh is in +3 oxidation state, its electronic configuration is [Kr] 4d⁶.
- The bulky ligand PPh₃ allows for tetrahedral arrangement.
- The hybridization is sp³ (4 coordinate bonds).
- **Geometry:** Tetrahedral.

### Summary of Complexes:
- **Tetrahedral Geometry:** `Ni(CO)₄`, `Na₂[Zn(CN)₄]`, `[RhCl(PPh₃)₃]`
- **Square Planar Geometry:** `K[AgF₄]`, `K₂[PtCl₄]`

### Final Answer:
The group of complexes having tetrahedral geometry is:
- `Ni(CO)₄`
- `Na₂[Zn(CN)₄]`
- `[RhCl(PPh₃)₃]`