What is the value of n for which time period is 8 times the time period of electron is first orbit of hydrogen atom ?

Explanation

To solve the problem of finding the value of \( n \) for which the time period is 8 times the time period of the electron in the first orbit of the hydrogen atom, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between time period and quantum number**:
The time period \( T \) of an electron in a hydrogen atom is directly proportional to the cube of the principal quantum number \( n \). This can be expressed as:
\[
T \propto n^3
...