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  4. A nucleus with mass number 240 breaks into two a fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :

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Q. A nucleus with mass number $240$ breaks into two a fragments each of mass number $120$, the binding energy per nucleon of unfragmented nuclei is $7.6\, MeV$ while that of fragments is $8.5\, MeV$. The total gain in the Binding Energy in the process is :

NEETNEET 2021Nuclei

Solution:

Final total binding energy
$=2 \times 8.5 \times 120 \,MeV =2040\, MeV$
Initial total binding energy
$=240 \times 7.6\, MeV =1824\, MeV$
Gain $=(2040-1824) \,MeV =216\, MeV$