Using the Rydberg formula, calculate the wavelength of the first four spectral lines in the Lyman series of the hydrogen spectrum.

Explanation

To calculate the wavelengths of the first four spectral lines in the Lyman series of the hydrogen spectrum using the Rydberg formula, we follow these steps:

### Step 1: Understand the Rydberg Formula
The Rydberg formula for the wavelength (\( \lambda \)) of spectral lines in hydrogen is given by:

\[ \frac{1}{\lambda} = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]
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