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}

λ = 400 nm(10^{-9}m/1nm) =400 × 10^{-}^{9} m

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?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Quantum Mechanics concept. You can view video lessons to learn Quantum Mechanics. Or if you need more Quantum Mechanics practice, you can also practice Quantum Mechanics practice problems.