We’re being asked to determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

We compute the first three wavelengths correspond to Lyman series with n_{final}_{ }= 1

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda}}{\mathbf{=}}{{\mathbf{RZ}}}^{{\mathbf{2}}}\left(\frac{\mathbf{1}}{{{\mathbf{n}}^{\mathbf{2}}}_{\mathbf{final}}}\mathbf{-}\frac{\mathbf{1}}{{{\mathbf{n}}^{\mathbf{2}}}_{\mathbf{initial}}}\right)}$

λ = wavelength, m

R = Rydberg constant = 1.097x10^{7} m^{-1}

Z = atomic number of the element

n_{initial }= initial energy level

n_{final} = final energy level

**Calculate the wavelength λ ****:**

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

Determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

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