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Binding energy per nucleon versus 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

Options

  1. AY → 2 Z
  2. BW → X + Z
  3. CW → 2 Y
  4. DX → Y + Z

Correct answer

C. W → 2 Y

Step-by-step solution

Energy is released in a process when total binding energy of the nucleus (= binding energy per nucleon x number of nucleons) is increased or we can say when total binding energy of products is more than the reactants. In the reaction W → 2 Y ​​​​​​The binding energy of reactants = 120 x 7 . 5 = 900 MeV and binding energy of products = 2 ( 60 x 8 . 5 ) = 1020 MeV and we can see 1020 MeV > 900 MeV .

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