The maximum number of atoms which lie in the same plane in `B_(2)H_(6)` molecule is `:`

Options

A. 210
B. 204
C. 100
D. 300

Explanation

To determine the maximum number of atoms that lie in the same plane in the B₂H₆ molecule (diborane), we can follow these steps:

### Step 1: Understand the Structure of B₂H₆
B₂H₆ consists of two boron (B) atoms and six hydrogen (H) atoms. The structure of diborane is unique because it contains a bridge structure where two hydrogen atoms are shared between the two boron atoms.

**Hint:** Visualize the molecular geometry to understand how the atoms are arranged.

### Step 2: Draw the Molecular Structure
When you draw the structure of B₂H₆, you will notice that:
- Each boron atom is bonded to two terminal hydrogen atoms and shares two hydrogen atoms with the other boron atom (these are the bridge hydrogens).
- The geometry of the molecule is not planar due to the presence of these bridge hydrogens.

**Hint:** Use a molecular model or a diagram to help visualize the arrangement of atoms.

### Step 3: Identify Atoms in the Same Plane
In the diborane molecule:
- The two boron atoms and the four terminal hydrogen atoms (two attached to each boron) lie in the same plane.
- The two bridge hydrogen atoms are positioned above and below this plane, which means they do not lie in the same plane as the other atoms.

**Hint:** Count the atoms that are coplanar carefully.

### Step 4: Count the Atoms in the Same Plane
From the structure:
- There are 2 boron atoms and 4 terminal hydrogen atoms that are in the same plane.
- Therefore, the total number of atoms in the same plane is 2 (B) + 4 (H) = 6 atoms.

**Hint:** Ensure you are not including the bridge hydrogen atoms in your count.

### Conclusion
The maximum number of atoms that lie in the same plane in the B₂H₆ molecule is **6**.

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