The isotone (s) of `._(32)^(77)Ge is//are`

Options

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

Explanation

To find the isotones of the element Germanium (Ge) with the atomic number 32 and mass number 77, we need to follow these steps:

### Step 1: Understand the concept of isotones
Isotones are nuclei that have the same number of neutrons but different numbers of protons.

### Step 2: Calculate the number of neutrons in Ge-77
The number of neutrons (N) can be calculated using the formula:
\[ N = A - Z \]
where:
- \( A \) is the mass number (77 for Ge),
- \( Z \) is the atomic number (32 for Ge).

So, for Ge-77:
\[ N = 77 - 32 = 45 \]

### Step 3: Identify elements with the same number of neutrons
Now we need to find other elements that have 45 neutrons. We will do this by checking various elements with different atomic numbers and calculating their mass numbers.

1. For Arsenic (As, atomic number 33):
\[ N = A - Z \]
\[ N = A - 33 \]
Setting \( N = 45 \):
\[ 45 = A - 33 \]
\[ A = 45 + 33 = 78 \]
So, As-78 is an isotone of Ge-77.

2. For Selenium (Se, atomic number 34):
\[ N = A - 34 \]
Setting \( N = 45 \):
\[ 45 = A - 34 \]
\[ A = 45 + 34 = 79 \]
So, Se-79 is another isotone of Ge-77.

### Step 4: List the isotones
From the calculations:
- Ge-77 has 45 neutrons.
- As-78 has 45 neutrons.
- Se-79 has 45 neutrons.

Thus, the isotones of Ge-77 are As-78 and Se-79.

### Final Answer:
The isotones of Ge-77 are As-78 and Se-79.

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