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**Unformatted text preview: **ignores the atom recoil. 6 (b) atom momentum p = Mv . After photon emission and recoil one has from (2): v = p M = p M = hf Mc , (8) 1 where the exact answer for f is given by (6), or, in the form expanded in inverse powers of mc 2 , by (7). If in (8) we use only the Frst term from (7), i.e. the Bohr answer, we get the approximate answer you are supposed to derive, i.e. v = h Mc ( E i-E f ) h = Rh Mc 1 n 2 i-1 n 2 f ! . (9) The second and higher terms in (7) when inserted in (8) will give the corrections to (9), which we see go like O (1 /M 2 c 3 ). 2...

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