Calculate The Binding Energy Of A Deuteron  in MeV.Given : mass Of Neutron = 1.008665 U, Mass Of Hydrogen Atom , Mass Of Deuterium Atoms . 

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Question

Calculate the binding energy of a deuteron  in MeV.Given : mass of neutron = 1.008665 u, mass of hydrogen atom , mass of deuterium atoms 

Solution

Correct option is

2.224 MeV

 

The deuterium atom  constant one proton and one neutron in its nucleus (called deuteron) and one extra-nuclear (orbital) electron. Let us calculate the mass detect of deuteron. 

        

                                               

                                                                      

This is the mass of all the constituent particles of the atom . The mass of this atom is 2.014102 u. Therefore, the defect of its nucleus (deuteron) is

      

 Therefore, the binding energy of the deuteron is  

      

When a deuteron is formed from a free proton and free neutron, then2.224 MeV energy is liberated. Conversely, a -ray photon must have at least 2.224 MeV energy to disintegrate a deuteron into a proton and a neutron. The binding energy per nucleon is

        .

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