Which of the following is incorrectly matched ?

Options

A. `{:("Hybridisation","Geometry","Orbitals use"),(sp^(3)d,"Trigonal bipyramidal",s+p_(x)+p_(y)+p_(s)+d_(s^(2))):}`
B. `{:("Hybridisation","Geometry","Orbitals use"),(sp^(3)d^(3),"Pentagonal bipyramidal ",s+p_(x)+p_(y)+p_(s)+d_(x^(2)-y^(2))+d_(x^(2))+d_(xy)):}`
C. `{:("Hybridisation","Geometry","Orbitals use"),(sp^(3)d^(2),"Capped octahedral ",s+p_(x)+p_(y)+p_(s)+d_(x^(2)-y^(2))+d_(x^(2))):}`
D. `{:("Hybridisation","Geometry","Orbitals use"),(sp^(3),"Tetrahedral",s+p_(x)+p_(y)+p_(s)):}`

Answer

To determine which of the following options is incorrectly matched, we will analyze each option based on the hybridization and geometry of the compounds mentioned.

### Step-by-Step Solution:

1. **Option 1: Hybridization sp³d and Geometry Trigonal Bipyramidal**
- The hybridization sp³d corresponds to a trigonal bipyramidal geometry.
- In this arrangement, there are five electron pairs around the central atom, with three in the equatorial plane and two axial.
- This option is correctly matched.

2. **Option 2: Hybridization sp³d³ and Geometry Pentagonal Bipyramidal**
- The hybridization sp³d³ corresponds to a pentagonal bipyramidal geometry.
- This geometry involves seven electron pairs, with five in the equatorial plane and two axial.
- This option is also correctly matched.

3. **Option 3: Hybridization sp³d² and Geometry Capped Octahedral**
- The hybridization sp³d² typically corresponds to an octahedral geometry.
- An octahedral geometry has six electron pairs around the central atom, and there is no "capped octahedral" geometry in standard nomenclature.
- Therefore, this option is incorrectly matched.

4. **Option 4: Hybridization sp³ and Geometry Tetrahedral**
- The hybridization sp³ corresponds to a tetrahedral geometry.
- In this arrangement, there are four electron pairs around the central atom, forming a tetrahedral shape.
- This option is correctly matched.

### Conclusion:
After analyzing all options, the incorrectly matched option is **Option 3**, where the hybridization sp³d² is incorrectly associated with "capped octahedral" instead of just "octahedral".