Calculate the wavelength of the first line in the balmer series of hydrogen spectrum

Explanation

To calculate the wavelength of the first line in the Balmer series of the hydrogen spectrum, we can use the Rydberg formula for hydrogen:

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

Where:
- \( \lambda \) is the wavelength,
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