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 $\text{6.5} \mathrm{eV}$ and for daughter nuclei are $7 \mathrm{eV}$ and $8 \mathrm{eV}$ respectively and the energy released in the decay is given by $\mathrm{X}\times {10}^5 \mathrm{eV}$, then $\mathrm{X}$ will be