question_answer 54)

  The deuteron is bound by nuclear forces just as H-atom is made up of p and e bound by electrostatic forces. If we consider the force between neutron and proton in deuteron as given in the form of a Coulomb potential but with an effective charge e': estimate the value of (e'/e) given that the binding energy of a deuteron is 2.2 M.

Answer:

                  The binding energy in ground state of hydrogen atom is     ?(i)                 If proton and neutron (in a deuteron) had charge e' each, and were governed by the same electrostatic force, then in (i), we replace e and e' and m by m', the reduced mass of neutron-proton, where Here, M represents mass of a neutron/proton.  Binding energy ,                                                                                         ?(ii) Dividing (ii) by(i), we get