1. Tardigrade
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  3. Physics
  4. A heavy nucleus having mass number 200 gets disintegrated into smaller fragments of mass number 80 and 120 . If binding energy per nucleon for parent atom is text6.5 eV and for daughter nuclei are 7 eV and 8 eV respectively and the energy released in the decay is given by X× 105 eV , then X will be

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Q. A heavy nucleus having mass number $200$ gets disintegrated into smaller fragments of mass number $80$ and $120$ . If binding energy per nucleon for parent atom is $\text{6.5} \, eV$ and for daughter nuclei are $7 \, eV$ and $8 \, eV$ respectively and the energy released in the decay is given by $X\times 10^{5} \, eV$ , then $X$ will be

NTA AbhyasNTA Abhyas 2020Nuclei

Solution:

200X → 80Y + 120Z
6.5 7 8
Energy released = 80 × 7 + 120 × 8 - 200 × 6.5
= 220 MeV
= 2200 × 105 eV