1. a) The electron in the hydrogen atom is subjected to a magnetic field produced by the proton. Explain this phenomenon. (i) Given that the radius of the electron orbit is rand the electron speed is v, calculate the magnetic field produced by the proton at the location of the electron. Using the Bohr model, derive a formula for the energy level splitting due to the magnetic field calculated in (i) in terms of the quantum number n. (ii) (ii) Hence, calculate the splitting of the n- 2 level in eV.
1. a) The electron in the hydrogen atom is subjected to a magnetic field produced by the proton. Explain this phenomenon. (i) Given that the radius of the electron orbit is rand the electron speed is v, calculate the magnetic field produced by the proton at the location of the electron. Using the Bohr model, derive a formula for the energy level splitting due to the magnetic field calculated in (i) in terms of the quantum number n. (ii) (ii) Hence, calculate the splitting of the n- 2 level in eV.
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explain this phenomenon please
Transcribed Image Text:1. a) The electron in the hydrogen atom is subjected to a magnetic field produced by the
proton. Explain this phenomenon.
(i)
Given that the radius of the electron orbit is rand the electron speed is v, calculate
the magnetic field produced by the proton at the location of the electron.
(ii)
Using the Bohr model, derive a formula for the energy level splitting due to the
magnetic field calculated in (i) in terms of the quantum number n.
Hence, calculate the splitting of the n= 2 level in eV.
(i)
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