An isotope of `._(32)Ge^(76)` is

Options

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

Explanation

To determine an isotope of germanium with the mass number of 76, we need to follow these steps:

### Step 1: Understand the definition of an isotope
Isotopes are variants of a particular chemical element that have the same number of protons (atomic number) but different numbers of neutrons, resulting in different mass numbers.

### Step 2: Identify the atomic number of germanium
Germanium (Ge) has an atomic number of 32. This means that all isotopes of germanium will have 32 protons.

### Step 3: Determine the mass number of the isotope
The question specifies that we are looking for an isotope with a mass number of 76. The mass number (A) is the total number of protons and neutrons in the nucleus.

### Step 4: Write the notation for the isotope
The notation for an isotope is typically written as:
\[ \text{Element Symbol} \, (A) \]
For germanium with a mass number of 76, it will be represented as:
\[ \, ^{76}_{32}\text{Ge} \]

### Step 5: Conclusion
Thus, an isotope of germanium with a mass number of 76 is:
\[ \, ^{76}_{32}\text{Ge} \]