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CBSE Class 12-science Answered

Why is the mass of a nucleus always less than the sum of the masses of its constituents, neutrons and protons? If the total number of neutrons and protons in a nuclear reaction is conserved, how then is the energy absorbed or evolved in a reaction? Explain. OR Draw a graph showing the variation of binding energy per nucleon with mass number for different nuclei. Explain, with the help of this graph, the release of energy by the process of nuclear fusion.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

During the formation of a nucleus, the protons and neutrons come closer to a distance of 10-14 m. The energy required for the purpose is spent by the nucleons at the expense of their masses. So mass of the nucleus found is less than the sum of the masses of the individual nucleons.

Since proton number and neutron number are conserved in a nuclear reaction, the total rest mass of neutrons and protons is the same on either side of a reaction. But the total binding energy of nuclei on the left side need not be the same as that on the right hand side. The difference in these binding energies appears as energy released or absorbed in a nuclear reaction.

OR

The graph showing the variation of binding energy per nucleon with mass number is shown below.

When we move from lighter nuclei to heavier nuclei, we find that there will be gain in the overall binding energy and hence release of energy. This indicates that energy can be released when two or more lighter nuclei fuse together to form a heavy nucleus. This process is called nuclear fusion.

Answered by | 04 Jun, 2014, 03:23: PM
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