A nucleus with mass number 240 breaks into two 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 :
- 216 MeV
- 0.9 MeV
- 9.4 MeV
- 804 MeV
Answer
(1) 216 MeV
Solution
Binding energy of the parent nucleus = 240 7.6 = 1824 MeV
Binding energy of the two fragments = 2 120 8.5 = 2040 MeV
∴ Gain in binding energy = 2040 - 1824 = 216 MeV
Answer: (1)