Evaluate this recoil energy

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When an atom emits a photon in a transition from a state of energy E1 to a state of energy E2 , the photon energy is not precisely equal to E1 ? E2 . Conservation of momentum requires that the atom must recoil, and so some energy must go into recoil kinetic energy KR. Show that KR ? (E1 ? E2)2/2Mc2 where M is the mass of the atom. Evaluate this recoil energy for the n = 2 to n = 1 transition of hydrogen.

Reference no: EM13247669

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