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Define the terms (i) mass defect, (ii) binding energy for a nucleus and state the relation between the two. For a given nuclear reaction, the B.E./nucleon of the product nucleus/nuclei is more than that for the original nucleus/nuclei. Is this nuclear reaction exothermic or endothermic in nature? Justify your choice. |
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Answer» Solution :(i) Mass defect `(Delta m),` of any nucleus `""_(Z)^(A) X` is the difference in the mass of the nucleus ( = M) and the sum of masses of its constituent nucleons ( = M.). `therefore Delta m = M.-M` `= [Zm_(p) + (A - Z) m_(n) ] -M` where `m_(p) and m_(n)` DENOTE the mass of the proton and the neutron respectively. (ii) Binding energy is the energy required to separate a nucleus into its constituent nucleons. The relation between the two is `"B. E." = ("mass defect") xx c^(2)`. (iii) There is a release of energy i.e., the REACTION is exothermic. Reason : Increase in B.F/nucleon implies that more mass has been converted into energy. This WOULD result in release of energy. |
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