The elements which have magic number of protons and neutrons among the following are

Options

A. `._(92)^(208)Pb`
B. `._(56)^(138)Ba`
C. `._(8)^(16)O`
D. `._(18)^(38)Ar`

Explanation

To determine which elements have magic numbers of protons and neutrons, we first need to understand what magic numbers are. Magic numbers are specific numbers of protons or neutrons in a nucleus that result in a more stable configuration. The commonly accepted magic numbers are 2, 8, 20, 28, 50, 82, and 126.

### Step-by-Step Solution:

1. **Identify the Magic Numbers**:
The magic numbers for protons and neutrons are:
- 2, 8, 20, 28, 50, 82, 126.

2. **List the Elements and Their Proton/Neutron Counts**:
From the question, we need to analyze the given options (not specified in the question, but we will assume common elements):
- For example, let's consider Oxygen (O, atomic number 8) and Lead (Pb, atomic number 82).

3. **Check for Magic Numbers**:
- **Oxygen (O)**:
- Protons = 8 (which is a magic number).
- Neutrons = 8 (also a magic number, as it is equal to the magic number).
- **Lead (Pb)**:
- Protons = 82 (which is a magic number).
- Neutrons = 126 (which is also a magic number).

4. **Conclusion**:
Both Oxygen and Lead have magic numbers for both protons and neutrons. Therefore, they are the elements that fit the criteria of having magic numbers.

5. **Final Answer**:
The elements which have magic numbers of protons and neutrons among the given options are Oxygen and Lead.