Wavelength and the energy levels in the Balmer are related by:

$\overline{)\frac{\mathbf{1}}{\mathbf{\lambda}}{\mathbf{=}}{\mathbf{R}}{\mathbf{(}}\frac{\mathbf{1}}{{\mathbf{2}}^{\mathbf{2}}}{\mathbf{-}}\frac{\mathbf{1}}{{\mathbf{n}}^{\mathbf{2}}}{\mathbf{)}}}$

Rydberg constant, R = 1.097 × 10^{7} m^{-1}

The smallest wavelength means that the electron is falling from infinity.

What is the smallest wavelength in the Balmer's series?

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