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Iron Emission Lines a.) According to the Bohr model, what is the energy of a photon...

Iron Emission Lines

a.) According to the Bohr model, what is the energy of a photon emitted as an electron falls from the n = 2 to the n = 1 state of an iron (Fe) atom? Recall that the nuclear charge Z of Fe is 26. You may neglect the influence of the other electrons outside the ground state. Give your answer in keV. What part of the spectrum does this lie in?

b.) According to the Bohr model, what is the speed of the electron in the ground state n = 1 of Fe? Give your answer in terms of the speed of light.

c.) Using part b, estimate the magnitude of the relativistic correction to the ground state of Fe by computing the ratio of the relativistic kinetic energy to the non-relativistic kinetic energy. Recall that you showed on the homework that the leading-order relativistic kinetic energy is (3/8)mv4/c2 .

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