`C_(60) ` contains 'x' five membered rings & 'y' six memebered Then :

Options

A. x= 20
B. y =12
C. x+y= 32
D. x = 6, y = 5

Answer

To solve the problem regarding the structure of C60 (Buckminsterfullerene), we need to determine the number of five-membered and six-membered rings present in its molecular structure.

### Step-by-Step Solution:

1. **Understanding the Structure of C60**:
- C60 is a molecule made entirely of carbon atoms arranged in a spherical shape. It is known as Buckminsterfullerene and is one of the allotropes of carbon.

2. **Identifying the Ring Types**:
- The structure of C60 consists of a combination of five-membered and six-membered rings. This is a characteristic feature of fullerenes.

3. **Counting the Rings**:
- In the case of C60, it has been established that:
- There are **12 five-membered rings**.
- There are **20 six-membered rings**.

4. **Assigning Variables**:
- Let \( x \) represent the number of five-membered rings.
- Let \( y \) represent the number of six-membered rings.
- From our counting, we can assign:
- \( x = 12 \)
- \( y = 20 \)

5. **Summing the Rings**:
- To find the total number of rings, we can add \( x \) and \( y \):
\[ x + y = 12 + 20 = 32 \]

6. **Conclusion**:
- The values we have found are \( x = 12 \) (for five-membered rings) and \( y = 20 \) (for six-membered rings). The total number of rings is 32.

### Final Answer:
- \( x = 12 \) (five-membered rings)
- \( y = 20 \) (six-membered rings)