1.

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 forces between neutron and proton in deuteron as given in the form of a Coulomb force but with an effective charge e': F=1/(4piepsilon_(0)) (e'^(2))/r^(2) estimate the value of (e'//e) given that the following binding energy of a deuteron is 2.2MeV.

Answer»

1.89
9.24
3.64
7.62

Solution :We Know that binding energy of hydrogen atom in ground state, `E=(me^4)/(8epsilon_0^2h^2)`=13.6 eV ….(i)
Replacing e by e' and m by m', reduced mass of neutron- proton
`m'=(MxxM)/(M+M)=M/2="1836m"/2`=918 m …(ii)
(M = mass of neutron / proton )
`therefore ` Binding energy , `E'=(918 me'^4)/(8 epsilon_0^2 h^2)`=2.2 MeV
Dividing (ii) by (i)
`918("e'"/e)^4=(2.2xx10^6)/13.6`
`(e')/e=(176.21)^(1//4)` =3.64


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