We are asked to **calculate the wavelengths of the first three lines in the Lyman series-those for which n _{i} =2, 3, and 4**.

**For this problem, we shall use the formula below:**

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda}}{\mathbf{=}}{\mathbf{1}}{\mathbf{.}}{\mathbf{097}}{\mathbf{\times}}{{\mathbf{10}}}^{{\mathbf{7}}}\mathbf{(}\mathbf{1}\mathbf{-}\frac{\mathbf{1}}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{)}}$

The Lyman series of emission lines of the hydrogen atom are those for which n_{f} = 1.

Calculate the wavelengths of the first three lines in the Lyman series-those for which n_{i} =2, 3, and 4.

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