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 a deuteron as given in the form a coulomb potential but with an effective charge e'.

F= ke'²/r estimate the value of e'/e given that the the binding energy of a duetron is 2.2MeV.

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Alok Kumar Singh | Contributor-Level 10

8 months ago

This is a Long Answer Type Questions as classified in NCERT Exemplar

Explanation-E= $\frac{m e^{4}}{π ε_{0}^{2} h^{2}} = 13.6 e V$

If proton and neutron had charge e each and were governed by the same electrostatic force, then in the above equation we would need relace m

So m' = $\frac{M * N}{M + N}$ =M/2=918m

Hence binding energy= 918me'⁴/8 $ε_{0}^{2} h^{2} = 2.2 M e V$

Dividing eqn

918 ( $\frac{e'}{e})$ ⁴= $\frac{2.2 M e V}{13.6 e V}$ =

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Physics Ncert Solutions Class 12th 2023

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