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Question

(a) Draw the plot of binding energy per nucleon (BE/A) as a function of mass number. Write two important conclusions that can be drawn regarding the nature of nuclear source.
(b) Use this graph to explain the release of energy in both the processes of nuclear fusion and fission.
(c) Write the basic nuclear process of neutron undergoing β -decay. Why is the detection of neutrinos found very difficult?

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Solution

(a) Plot of binding energy per nucleon as the function of mass number A is given as below :


Following are the two conclusion that can be drawn regarding the nature of the nuclear force :

(i) The force is attractive and strong enough to produce a binding energy of few MeV per nucleon.
(ii) The constancy of the binding energy in the range 30 <A<170 is a consequence of the fact that the nuclear force is short range force.
(b) Nuclear fission : A very heavy nucleus (say, A = 240) has lower binding energy per nucleon as compared to the nucleus with A = 120. Thus, if the heavier nucleus breaks to the lighter nucleus with high binding energy per nucleon, nucleons are tightly bound. This implies that energy will be released in the process which justifies the energy release in fission reaction.
Nuclear fusion : When two light nuclei (A<10) are combined to form a heavier nuclei, the binding energy of the fused heavier nuclei is more than the binding energy per nucleon of the lighter nuclei. Thus the final system is more tightly bound than the initial system. Again the energy will be released in fusion reaction.
(c) The basic nuclear process of neutron undergoing β-decay is given as :
np+e+¯v
Neutrinos are massless and chargeless particles. Neutrinos interact very weakly with matter that it becomes very difficult to defect that's why the detection of neutrinos is found very difficult.


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