A nucleus
has mass represented by
. If
and
denote the mass of proton and neutron respectively and BE the binding energy (in MeV ), then :
Text Solution
Verified by ExpertsB
In the case of formation of a nucleus the evolution of energy 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 nucleuses 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 A and atomic number Z. Hence, the binding energy of the nucleus is


Where
number of neutrons,
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems