Question

A heavy nucleus having mass number 200 gets disintegrated into two small fragments of mass number 80 and 120. If binding energy per nucleon for parent atom is 6.5 MeV and for daughter nuclei is 7 MeV and 8 MeV respectively, then the energy released in the decay is $X\times 110MeV$.Find the value of $X$

• A. 3
• B. 4
• C. 2
• D. 1

Answer 1

Answer: (C)

2

Energy released = Difference in overall binding energy
$E=(B{E}_{products}-B{E}_{reactants})$
$E=80\times 7+120\times 8-6.5\times 200eV$
$E=220eV$