Problem: What is the smallest value of n for which the wavelength of a Balmer series line is smaller than 400 nm, which is the lower limit for wavelengths in the visible spectrum?

FREE Expert Solution

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

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

Rydberg constant, R = 1.097 × 107 m-1

λ = 400 nm(10-9m/1nm)  =400 × 10-9 m

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Problem Details

What is the smallest value of n for which the wavelength of a Balmer series line is smaller than 400 nm, which is the lower limit for wavelengths in the visible spectrum?