The equation for the emission of spectral lines the helium atom is:

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda}}{\mathbf{=}}{{\mathbf{RZ}}}^{{\mathbf{2}}}{\mathbf{(}}\frac{\mathbf{1}}{{{\mathbf{n}}_{\mathit{f}}}^{\mathbf{2}}}{\mathbf{-}}\frac{\mathbf{1}}{{\mathbf{n}}_{{\mathit{i}}^{\mathbf{2}}}}{\mathbf{)}}}$ where R is the Rydberg constant and Z is the atomic number

For helium, let’s label the emission wavelengths, (nf, ni) where nf and ni are, respectively, the principal quantum numbers of the final and the initial states. Calculate the following emission wavelengths: (3,4), (4,6), (4,7), (4,8) and (4,9)

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