When the number of nucleons in a nucleus increases, the binding energy per nucleon :
increases continuously with mass number
decreases continuously with mass number
remains constant with mass number
first increases and then decreases with increase in mass number
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The binding energy is the energy released when a nucleus is assembled from its constituent nucleons. It is thus a measure of the amount of energy held within the bonds of the atom and corresponds to the energy required to be put in again to pull the nucleons apart. Hence, the energy equivalent of the mass-defect is called the binding-energy of the nucleus.
The larger the nucleus, the greater is the internal repulsive forces due to the greater number of protons and less energy must be applied to remove a nucleon from the nucleus, hence the binding energy is lower. The greater the binding energy, the more stable the atom is.
This variation in the binding energy per nucleon (BEA) is easily seen when the average BEA is plotted versus atomic mass number (A), as shown in the figure, as the atomic mass number increases i.e. the number of particles in a nucleus increases, the total binding energy also increases first and then decreases for A > 56.
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Graph of binding energy per nucleon (BA)vs mass number (A) is given. x, a hypothetical nucleus with mass number A=230 splits into 2 nucleus with mass number 60 and 170. Find energy released in this fission in meV
Binding energy per nucleon increases as atomic number increases.
When the number of nucleons in a nucleus increases the binding energy per nucleon-
As the mass number A increases, the binding energy per nucleon in a nucleus
(c) remains the same
(d) varies in a way that depends on the actual value of A.
When the number of nucleons in the nucleus increased then the binding energy per nucleon