Isotone of `_(32)^(76)Ge` is//are:

Options

A. `_(32)^(77)Ge`
B. `_(33)^(77)As`
C. `_(34)^(77)Se`
D. `_(34)^(78)Se`

Answer

To determine the isotones of \( _{32}^{76}Ge \) (Germanium-76), we need to identify elements that have the same number of neutrons as Germanium-76.

### Step-by-Step Solution:

1. **Identify the number of neutrons in Germanium-76**:
- The number of neutrons can be calculated using the formula:
\[ \text{Number of neutrons} = \text{Mass number} - \text{Atomic number} \]
- For Germanium-76:
\[ \text{Number of neutrons} = 76 - 32 = 44 \]

2. **Find elements with 44 neutrons**:
- We will look for elements that have a mass number (A) such that:
\[ \text{Number of neutrons} = A - Z = 44 \]
- Rearranging gives us:
\[ A = Z + 44 \]
- We can check various atomic numbers (Z) to find corresponding mass numbers (A).

3. **Calculate for different atomic numbers**:
- Let's calculate for a few atomic numbers:
- For \( Z = 32 \) (Germanium itself):
\[ A = 32 + 44 = 76 \]
- For \( Z = 33 \) (Arsenic):
\[ A = 33 + 44 = 77 \quad (\text{Arsenic-77}) \]
- For \( Z = 34 \) (Selenium):
\[ A = 34 + 44 = 78 \quad (\text{Selenium-78}) \]
- For \( Z = 31 \) (Gallium):
\[ A = 31 + 44 = 75 \quad (\text{Gallium-75}) \]

4. **List the isotones**:
- From the calculations, we find:
- \( _{33}^{77}As \) (Arsenic-77) has 44 neutrons.
- \( _{34}^{78}Se \) (Selenium-78) has 44 neutrons.
- Therefore, the isotones of \( _{32}^{76}Ge \) are:
- Arsenic-77
- Selenium-78

### Final Answer:
The isotones of \( _{32}^{76}Ge \) are \( _{33}^{77}As \) and \( _{34}^{78}Se \).