The binding energy of an element of `64 MeV`. If `BE//"nucleon"` is 6.4, then the number of nucleons are

Options

A. 10
B. 64
C. 16
D. 6

Explanation

To solve the problem, we need to determine the number of nucleons in an element given its total binding energy and binding energy per nucleon.

### Step-by-Step Solution:

1. **Identify the given values:**
- Total binding energy (BE) = 64 MeV
- Binding energy per nucleon (BE/nucleon) = 6.4 MeV

2. **Use the formula for the number of nucleons:**
The formula to find the number of nucleons (N) is:
\[ N = \frac{\text{Total Binding Energy}}{\text{Binding Energy per Nucleon}} \]

3. **Substitute the known values into the formula:**
\[ N = \frac{64 \text{ MeV}}{6.4 \text{ MeV}} \]

4. **Perform the calculation:**
\[ N = \frac{64}{6.4} = 10 \]

5. **Conclusion:**
The number of nucleons in the element is **10**.

### Final Answer:
The number of nucleons is **10**.

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