Which of the following statements regarding the molecule `CH_(2)=C=CH_(2)` is NOT correct?

Options

A. Both the `pi` bonds are present in the same plane
B. The central carbon atom is sp hybridized while the terminal atoms are `sp^(2)` hybridized
C. the molecular is linear
D. the molecule contains six `sigma` bonds and two `pi` bonds.

Answer

To determine which statement regarding the molecule \( CH_2=C=CH_2 \) is NOT correct, we will analyze each statement one by one.

### Step 1: Analyze the structure of the molecule
The molecule \( CH_2=C=CH_2 \) consists of three carbon atoms connected by double bonds. The structure can be represented as:

```
H H
\ /
C
// \
C C
\ /
H H
```

### Step 2: Determine the hybridization of the carbon atoms
1. **Terminal Carbons (C1 and C3)**: Each terminal carbon (C1 and C3) is bonded to two hydrogen atoms and one carbon atom through a double bond. Therefore, they are **sp² hybridized**.
2. **Central Carbon (C2)**: The central carbon is bonded to two other carbon atoms through double bonds. Thus, it is **sp hybridized**.

### Step 3: Count the sigma and pi bonds
- **Sigma Bonds**:
- Each C-H bond is a sigma bond (2 C-H bonds).
- Each C=C double bond consists of one sigma bond.
- Therefore, the total number of sigma bonds is:
- 2 (C1-H) + 2 (C3-H) + 1 (C1=C2) + 1 (C2=C3) = 6 sigma bonds.

- **Pi Bonds**:
- Each C=C double bond has one pi bond.
- Therefore, the total number of pi bonds is:
- 1 (C1=C2) + 1 (C2=C3) = 2 pi bonds.

### Step 4: Analyze the statements
1. **Statement 1**: "Both the pi bonds are present in the same plane."
- **Analysis**: The pi bonds are formed from the unhybridized p orbitals. Since the p orbitals are oriented perpendicular to each other, this statement is **NOT correct**.

2. **Statement 2**: "The central carbon atom is sp hybridized while the terminal atoms are sp² hybridized."
- **Analysis**: This statement is **correct**.

3. **Statement 3**: "The molecule is linear."
- **Analysis**: The molecule has a linear arrangement due to the sp hybridization of the central carbon, making this statement **correct**.

4. **Statement 4**: "The molecule contains 6 sigma bonds and 2 pi bonds."
- **Analysis**: As calculated, this statement is **correct**.

### Conclusion
The statement that is NOT correct is:
**"Both the pi bonds are present in the same plane."**