Engineering
Physics
Nucleus and Nuclear Force
Question

Binding energy per nucleon verses mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

W → 2Y

W → X + Z

Y → 2Z

X → Y + Z

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Solution

Energy is released in a process when total binding energy (B.E.) of the nucleus is increased or we can say when total B.E. of products is more than the reactants. By calculation we can see that only in case in ans, this happens.

Given W → 2Y

B.E. of reactants = 120 × 7.5 = 900 MeV

and B.E. of products = 2 × (60 × 8.5) = 1020 MeV

i.e., B.E. of products > B.E. of reactants.

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