Find the ratio of wavelengths of first line of Lyman series and second line of Balmer series

Explanation

To find the ratio of the wavelengths of the first line of the Lyman series and the second line of the Balmer series, we can follow these steps:

### Step 1: Understand the formula for the wavelengths in the hydrogen spectrum
The wavelength of the emitted radiation in the hydrogen spectrum can be calculated using the formula:
\[ \frac{1}{\lambda} = R \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \]
where \( R \) is the Rydberg constant, \( n_f \) is the final energy level, and \( n_i \) is the initial energy level.
...