In `""._(88)Ra^(226)` nucleus there are

Options

A. 138 protons and 88 neutrons
B. 138 neutrons and 88 protons
C. 226 neutrons and 88 electons
D. 226 neutons and 138 electrons

Explanation

To solve the question about the composition of the nucleus of radium, denoted as \( \text{Ra}_{88}^{226} \), we will follow these steps:

### Step 1: Identify the Atomic Number and Mass Number
The notation \( \text{Ra}_{88}^{226} \) indicates:
- The atomic number \( Z = 88 \) (which represents the number of protons).
- The mass number \( A = 226 \) (which represents the total number of protons and neutrons).

### Step 2: Determine the Number of Protons
The number of protons in the nucleus is equal to the atomic number:
- Number of protons = \( Z = 88 \).

### Step 3: Calculate the Number of Neutrons
The number of neutrons can be calculated using the formula:
\[ \text{Number of neutrons} = A - Z \]
Substituting the values:
\[ \text{Number of neutrons} = 226 - 88 = 138 \]

### Step 4: Summarize the Results
In the nucleus of \( \text{Ra}_{88}^{226} \):
- Number of protons = 88
- Number of neutrons = 138

### Conclusion
Thus, the nucleus of radium contains 88 protons and 138 neutrons.