Which of the following statement is correct ?

Options

A. In the dianion , all the `C-C` bonds are of same length but `C-O` bonds are of different length
B. In the dianion, all `C-C` bonds are of same length and also all `C-O` bonds are of same lengths
C. In the dianion, all `C-C` bond lengths are not of same length
D. None of the above

Answer

To determine which statement about the diene anion is correct, we need to analyze the structure and properties of the diene anion.

### Step-by-Step Solution:

1. **Understanding the Diene Anion Structure**:
- A diene anion typically has two double bonds and carries a negative charge. The structure can be represented as follows:
\[ \text{O}^- - \text{C} = \text{C} - \text{C} = \text{C} - \text{O}^- \]
- Here, the carbon atoms (C) are involved in double bonds, and the oxygen atoms (O) carry negative charges.

2. **Analyzing the Carbon-Carbon (C-C) Bonds**:
- In a diene anion, the resonance structures allow for delocalization of electrons. This means that the double bonds can shift, leading to equal bond lengths for the C-C bonds.
- Therefore, all C-C bonds in the diene anion are of the same length due to resonance.

3. **Analyzing the Carbon-Oxygen (C-O) Bonds**:
- The C-O bonds in the diene anion can also be affected by resonance. However, the presence of different types of bonds (single vs. double) can lead to variations in bond lengths.
- In this case, the C-O bonds are not necessarily of the same length as the C-C bonds.

4. **Evaluating the Statements**:
- **Statement 1**: "In the diene anion, all the C-C bonds are the same length, but the C-O bonds are of different lengths." - This statement is correct.
- **Statement 2**: "In the diene anion, all the C-C bonds are the same length, and also all the C-O bonds are the same length." - This statement is incorrect.
- **Statement 3**: "In the diene anion, all C-C bond lengths are not the same." - This statement is incorrect.
- **Statement 4**: "None of the above." - This statement is incorrect since Statement 1 is correct.

5. **Conclusion**:
- The correct statement is **Statement 1**: "In the diene anion, all the C-C bonds are the same length, but the C-O bonds are of different lengths."

### Final Answer:
The correct statement is: **In the diene anion, all the C-C bonds are the same length, but the C-O bonds are of different lengths.**