JEE · NEET Previous Year Question

A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the binding energy in the process is [NEET 2021]

Topic: NEET PYQ

Answer: D. Full step-by-step solution below.

  1. A0.9 MeV
  2. B9.4 MeV
  3. C804 MeV
  4. D216 MeV

Correct answer: D

Solution

(d) A nucleus with mass number 240 breaks into two fragments each of mass number 120.

Given, the binding energy per nucleon of unfragmented nuclei,
The binding energy per nucleon of fragmented nuclei,

Now, we shall determine the total gain in binding energy.
Gain in binding energy Binding energy of products Binding energy of reactants
Gain in binding energy

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