For which of the following hybridisation the bond angle is maximum

Options

A. `sp^2`
B. sp
C. `sp^3`
D. `dsp^2`

Answer

To determine which hybridization has the maximum bond angle, we need to analyze the percentage of s character in each hybridization type. The bond angle is directly proportional to the percentage of s character; the higher the s character, the larger the bond angle.

### Step-by-Step Solution:

1. **Identify the Hybridization Types**: The given hybridizations are sp, sp2, sp3, and dsp2.

2. **Calculate the Percentage of s Character for Each Hybridization**:
- **For sp2 Hybridization**:
- In sp2, there is 1 s orbital and 2 p orbitals.
- Total orbitals = 1 (s) + 2 (p) = 3
- Percentage of s character = (1/3) × 100 = 33.33%

- **For sp Hybridization**:
- In sp, there is 1 s orbital and 1 p orbital.
- Total orbitals = 1 (s) + 1 (p) = 2
- Percentage of s character = (1/2) × 100 = 50%

- **For sp3 Hybridization**:
- In sp3, there is 1 s orbital and 3 p orbitals.
- Total orbitals = 1 (s) + 3 (p) = 4
- Percentage of s character = (1/4) × 100 = 25%

- **For dsp2 Hybridization**:
- In dsp2, there is 1 s orbital, 1 d orbital, and 2 p orbitals.
- Total orbitals = 1 (s) + 1 (d) + 2 (p) = 4
- Percentage of s character = (1/4) × 100 = 25%

3. **Compare the Percentages of s Character**:
- sp2: 33.33%
- sp: 50%
- sp3: 25%
- dsp2: 25%

4. **Determine the Maximum Bond Angle**:
- Since the bond angle is directly proportional to the percentage of s character, the hybridization with the highest s character will have the maximum bond angle.
- The maximum s character is found in sp hybridization (50%).

5. **Conclusion**: Therefore, the hybridization with the maximum bond angle is **sp**.

### Final Answer:
The hybridization with the maximum bond angle is **sp**.