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← JEE Main 2022 · 24 Jun · Shift 1
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JEE Main 2022 · 24 Jun · Shift 1, Physics question 45

Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C' of mass numbers 105 and 115. The binding energy of nucleons in 'B' and 'C' is 6.4 MeV per nucleon. The energy Q released per fission will be :

Choose one option
Answer and worked solution

Official answer: D

Binding energies. Before: 220×5.6=1232220\times5.6=1232 MeV. After: (105+115)×6.4=1408(105+115)\times6.4=1408 MeV.

Energy released. Q=1408−1232=176Q=1408-1232=176 MeV.

(D)