Nodal planes of `pi`-bonds in `CH_(2)=C=C=CH_(2)` are located in,

Options

A. All are in molecular plane
B. Two in molecular plane and one in a plane perpendicular to molecular plane which contains C-C sigma-bond
C. On is molecular plane and two in plane perpendicular to molecular plane which contains C-C sigma-bonds
D. Two in molecular plane and one in a perpendicular to molecular plane which bisects C-C sigma-bonds at right angle.

Explanation

To determine the nodal planes of the π-bonds in the compound CH₂=C=C=CH₂, we need to analyze the structure and bonding of the molecule step by step.

### Step 1: Draw the Structure of the Molecule
The first step is to visualize the structure of the molecule. CH₂=C=C=CH₂ consists of two terminal carbon atoms (each bonded to two hydrogen atoms) and two central carbon atoms that are double-bonded to each other.

**Hint:** Start by sketching the molecule to understand its geometry and bonding.

### Step 2: Identify the Types of Bonds
In the structure, we have:
- Sigma (σ) bonds: These are single bonds formed by the head-on overlap of atomic orbitals. In this case, the C-H and C=C bonds are σ bonds.
- Pi (π) bonds: These are formed by the side-to-side overlap of p orbitals. The double bonds between the central carbons (C=C) consist of one σ bond and one π bond.

**Hint:** Remember that each double bond consists of one σ bond and one π bond.

### Step 3: Determine the Nodal Planes of the π-bonds
For π-bonds, the nodal planes are the planes where the probability of finding an electron is zero. In the case of the π-bonds in the molecule:
- The π-bond between the first and second carbon (C1=C2) has a nodal plane that is perpendicular to the plane of the molecule.
- The π-bond between the second and third carbon (C2=C3) also has a nodal plane that is perpendicular to the plane of the molecule.

**Hint:** Nodal planes for π-bonds are typically perpendicular to the bond axis.

### Step 4: Identify the Orientation of the Nodal Planes
The nodal planes of the π-bonds are located:
1. One nodal plane between the first and second carbons (C1=C2).
2. Another nodal plane between the second and third carbons (C2=C3).

These nodal planes are oriented in such a way that they are perpendicular to the plane of the molecule, which contains the σ-bonds.

**Hint:** Visualize the orientation of the bonds and how the nodal planes relate to them.

### Conclusion
In summary, the nodal planes of the π-bonds in CH₂=C=C=CH₂ are located in planes that are perpendicular to the molecular plane containing the σ-bonds.

**Final Answer:** The nodal planes of the π-bonds in CH₂=C=C=CH₂ are located in planes perpendicular to the molecular plane containing the σ-bonds.