# Problem: A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.27 nm. It then gives off a photon having a wavelength of 1817 nm. What is the final state of the hydrogen atom?

###### FREE Expert Solution

$\overline{){\mathbf{∆}}{\mathbf{E}}{\mathbf{=}}{\mathbf{hc}}\mathbf{\left(}\frac{\mathbf{1}}{{\mathbf{\lambda }}_{\mathbf{absorbed}}}\mathbf{-}\frac{\mathbf{1}}{{\mathbf{\lambda }}_{\mathbf{emitted}}}\mathbf{\right)}}$

2.04×10-18 J

We can determine nfinal using the Bohr Equation shown below:

###### Problem Details

A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.27 nm. It then gives off a photon having a wavelength of 1817 nm. What is the final state of the hydrogen atom?