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The deuteron is bound by nuclear forces just as the H-atom is made up of p and e bound by electrostatic forces. If we consider the force between neutron and proton in a deuteron as given in the form of a Coulomb potential but with an effective charge e'=F\left ( 1/4 \pi \epsilon _{0} \right ).(e^{r}/r). Estimate the value of (e’/e) given that the binding energy of a deuteron is 2.2 MeV.

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H atom has a binding energy of  = E = 13.6 eV

The value of m’, when it is reduced = 918 m

mp = the mass of a neutron or a proton

The deuteron has a binding energy of 2.2 MeV

Therefore, the e’/e = 3.64

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