`No`. Of pentagons in `C_(60)` and Triangles in white Phosphorus are :
A
12,3
B
12,4
C
20,3
D
20,4
Text Solution
AI Generated Solution
The correct Answer is:
To solve the problem, we need to find the number of pentagons in C₆₀ (Buckminsterfullerene) and the number of triangles in white phosphorus (P₄).
### Step 1: Determine the number of pentagons in C₆₀
1. **Understanding C₆₀ Structure**: C₆₀ is a spherical molecule made up of carbon atoms arranged in a pattern similar to a soccer ball, consisting of hexagons and pentagons.
2. **Counting Pentagons**: In the structure of C₆₀, it is known that there are exactly 12 pentagons. This is a characteristic feature of the fullerene structure.
### Step 2: Determine the number of triangles in white phosphorus
1. **Understanding White Phosphorus Structure**: White phosphorus (P₄) has a tetrahedral structure where four phosphorus atoms are connected.
2. **Visualizing the Structure**: The tetrahedral shape can be visualized as having triangular faces.
3. **Counting Triangles**: In the tetrahedral structure of white phosphorus, each face of the tetrahedron represents a triangle. Since a tetrahedron has 4 triangular faces, we conclude that there are 4 triangles in white phosphorus.
### Final Answer
- The number of pentagons in C₆₀ is **12**.
- The number of triangles in white phosphorus is **4**.
