8. The hydrogen Balmer Hø spectral line is caused by radiation absorbed or emitted as an electron transitions between the 1st excited state and the 3rd excited state in a hydrogen atom. a) Using the Bohr model, calculate the energy of the electron when it is in the 1st excited state, in units of electron-Volts (eV) b) Calculate the energy of the electron when it is in the 3rd excited state, in units of eV. c) Calculate the energy difference between the 1st and 3rd excited state, in units of eV. d) Suppose the electron falls from the 3rd excited state to the 1st excited state. Calculate the wavelength of the radiation that is emitted in this transition.

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8. The hydrogen Balmer H₁ spectral line is caused by radiation absorbed or emitted as an
electron transitions between the 1st excited state and the 3rd excited state in a hydrogen
atom.
a) Using the Bohr model, calculate the energy of the electron when it is in the 1st excited state,
in units of electron-Volts (eV)
b) Calculate the energy of the electron when it is in the 3rd excited state, in units of eV.
c) Calculate the energy difference between the 1st and 3rd excited state, in units of eV.
d) Suppose the electron falls from the 3rd excited state to the 1st excited state. Calculate the
wavelength of the radiation that is emitted in this transition.
Transcribed Image Text:8. The hydrogen Balmer H₁ spectral line is caused by radiation absorbed or emitted as an electron transitions between the 1st excited state and the 3rd excited state in a hydrogen atom. a) Using the Bohr model, calculate the energy of the electron when it is in the 1st excited state, in units of electron-Volts (eV) b) Calculate the energy of the electron when it is in the 3rd excited state, in units of eV. c) Calculate the energy difference between the 1st and 3rd excited state, in units of eV. d) Suppose the electron falls from the 3rd excited state to the 1st excited state. Calculate the wavelength of the radiation that is emitted in this transition.
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