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?

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E=hc(1λabsorbed-1λemitted)

E=(6.626×10-34 J·s)(3.00×108 ms)(192.27 nm×10-9m1 nm-11817 nm×10-9m1 nm)=2.04×10-18 J

We can determine nfinal using the Bohr Equation shown below:

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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?

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