What is the maximum number of electrons that can be theoretically present in the seventh orbit ?

Options

A. 49
B. 32
C. 72
D. 98

Answer

To find the maximum number of electrons that can be theoretically present in the seventh orbit, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Formula**: The maximum number of electrons in any orbit can be calculated using the formula:
\[ \text{Maximum electrons} = 2n^2 \]
where \( n \) is the principal quantum number (the number of the orbit).

2. **Determine the Value of \( n \)**: For the seventh orbit, \( n = 7 \).

3. **Substitute \( n \) into the Formula**: Now, substitute \( n = 7 \) into the formula:
\[ \text{Maximum electrons} = 2 \times (7^2) \]

4. **Calculate \( 7^2 \)**: First, calculate \( 7^2 \):
\[ 7^2 = 49 \]

5. **Multiply by 2**: Now, multiply this result by 2:
\[ 2 \times 49 = 98 \]

6. **Conclusion**: Therefore, the maximum number of electrons that can be theoretically present in the seventh orbit is:
\[ \text{Maximum electrons} = 98 \]

### Final Answer:
The maximum number of electrons that can be theoretically present in the seventh orbit is **98**.

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