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In the Bohr model, the Paschen series of spectral lines is caused by radiation absorbed or emitted as an electron transitions between the 2nd excited state and any higher excited state (3rd excited state and higher) of the hydrogen atom. The Paschen series spectral lines all involve infrared photons (9 marks).
1. Using the Bohr model, calculate the energy of the electron when it is in the 2nd excited state, in units of electron-Volts (eV).
2. Calculate the energy of the electron when it is in the 3rd excited state, in units of eV.
3. Calculate the energy difference between the 2nd and 3rd excited states, in units of eV.
4. Suppose the electron falls from the 3rd excited state to the 2nd excited state. Calculate the wavelength of the radiation that is emitted in this transition. This is known as the Paschen alpha spectral line.
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