`SF_(2),SF_(4)` and `SF_(6)` have the hybridisation at sulphur atom respectively as .

Options

A. `sp^2,sp^3,sp^2d^2`
B. `sp^3,sp^3,sp^3d^2`
C. `sp^3,sp^3d,sp^3d^2`
D. `sp^3,spd^2,d^2sp^3`.

Answer

To determine the hybridization of sulfur in the molecules SF₂, SF₄, and SF₆, we can follow these steps:

### Step 1: Determine the Steric Number for SF₂
1. **Identify the valence electrons of sulfur**: Sulfur has 6 valence electrons.
2. **Count the number of monovalent atoms attached**: There are 2 fluorine atoms attached to sulfur.
3. **Apply the formula for steric number**:
\[ \text{Steric Number} = \frac{1}{2} \left( \text{Number of valence electrons} + \text{Number of monovalent atoms} - \text{Cationic charge} + \text{Anionic charge} \right) \]
For SF₂:
\[ \text{Steric Number} = \frac{1}{2} \left( 6 + 2 - 0 + 0 \right) = \frac{1}{2} \times 8 = 4 \]
4. **Determine hybridization**: A steric number of 4 corresponds to sp³ hybridization.

### Step 2: Determine the Steric Number for SF₄
1. **Identify the valence electrons of sulfur**: Sulfur has 6 valence electrons.
2. **Count the number of monovalent atoms attached**: There are 4 fluorine atoms attached to sulfur.
3. **Apply the formula for steric number**:
For SF₄:
\[ \text{Steric Number} = \frac{1}{2} \left( 6 + 4 - 0 + 0 \right) = \frac{1}{2} \times 10 = 5 \]
4. **Determine hybridization**: A steric number of 5 corresponds to sp³d hybridization.

### Step 3: Determine the Steric Number for SF₆
1. **Identify the valence electrons of sulfur**: Sulfur has 6 valence electrons.
2. **Count the number of monovalent atoms attached**: There are 6 fluorine atoms attached to sulfur.
3. **Apply the formula for steric number**:
For SF₆:
\[ \text{Steric Number} = \frac{1}{2} \left( 6 + 6 - 0 + 0 \right) = \frac{1}{2} \times 12 = 6 \]
4. **Determine hybridization**: A steric number of 6 corresponds to sp³d² hybridization.

### Final Answer
- **SF₂**: sp³ hybridization
- **SF₄**: sp³d hybridization
- **SF₆**: sp³d² hybridization

Thus, the hybridization at the sulfur atom in SF₂, SF₄, and SF₆ respectively is **sp³, sp³d, and sp³d²**.