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Draw a plot of the binding energy per nucleon as a function of mass number for a large number of nuclei, 2le Ale 240. How do you explain the constancy of binding energy per nucleon in the range 30ltA lt170 using the property that nuclear force is short-ranged ? |
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Answer» Solution :A PLOT of binding energy per nucleon as a FUNCTION of MASS number has been shown in Fig. 13.04. The constancy of the binding energy per nucleon in the range `30 lt A lt 170` is a consequence of the fact that the nuclear force is short ranged one. A particular nucleon will be under the influence of only some of the neighbouring nucleons which come within the range of the nuclear force. If a nucleon can have a maximum of p neighbours within the range of nuclear force, its binding energy would be proportional to p or is EQUAL to pk where k is a constant. If we increase mass number A, by adding more nucleons, they will not CHANGE the binding energy of a nucleon inside. Thus, binding energy per nucleon is a constant and is approximately equal to pk. |
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