We know that the energy difference between two levels in a hydrogen atom is given by the Rydberg formula:
$$\Delta E = -R_H \left(\frac{1}{n_f^2} - \frac{1}{n_i^2}\right)$$
where $R_H$ is the Rydberg constant for hydrogen ($R_H \approx 2.18 \times 10^{-18}
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