Draw a plot of the binding energy per nucleon as a function of ma… - Vidyadip

Question

Draw a plot of the binding energy per nucleon as a function of mass number for a large number of nuclei, 2⩽ A⩽240. How do you explain the constancy of binding energy per nucleon in the range 30 < A < 170 using the property that nuclear force is short - ranged?

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Answer

The constancy of the binding energy in the range 30 < A < 170 is a consequence of the fact that the nuclear force is short-ranged.

If a nucleon can have a maximum of p neighbours within the range of nuclear force, its binding energy would be proportional to p. If we increase A by adding nucleons they will not change the binding energy of a nucleon inside. Since most of the nucleons in a large nucleus reside inside it and not on the surface, the change in binding energy per nucleon would be small. Hence the binding energy per nucleon is a constant.

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