A nucleus 
has mass represented by 
. If 
and 
denote the mass of proton and neutron respectively and B.E. the binding energy in 
, then
Text Solution
Verified by ExpertsA
In the case of formation of a nucleus the evolution of energy equal to the binding energy of the nucleus takes place due to disappearance of a fraction of the total mass. If the quantity of mass disappearing is 
, then the binding energy is
From the above discussion, it is clear that the mass of the nucleus must be less than the sum of the masses of the constituent neutrons and protons. We can then write.
where 
is the mass of the atom of mass number 
and atomic number 
. Hence, the binding energy of the nucleus is
where 
number of neutrons.
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