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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
The Nucleus

Concepts Of Physics MCQ Edition [Volume 2] · Physics · The Nucleus

In the case of nuclei having A > 100 ,

In the case of nuclei having A>100A > 100,

Options

  1. Aenergy is released if two nuclei undergo fusion to form a larger nucleus
  2. Bthe binding energy per nucleon, on average, decreases as AA increases
  3. Cenergy is released if the nucleus splits into two approximately equal fragments
  4. Dthe binding energy of the nucleus, on average, decreases as AA increases

Correct answer

C. energy is released if the nucleus splits into two approximately equal fragments

Step-by-step solution

The binding energy per nucleon (BEA\dfrac{BE}{A}) curve reaches its maximum at A≈56A \approx 56 and then gradually decreases for larger values of AA.

For A>100A > 100, the BEA\dfrac{BE}{A} value decreases as AA increases. Thus, option (2) is correct.

If a nucleus with A>100A > 100 splits into two approximately equal fragments, the mass number of each fragment will be A2\dfrac{A}{2}. Since A2\dfrac{A}{2} is closer to 5656 than AA, the fragments will have a higher binding energy per nucleon than the original nucleus. This increase in total binding energy means that energy is released during the fission process. Thus, option (3) is correct.

If two nuclei with A>100A > 100 fuse, the resulting nucleus will have a mass number greater than 200200, which has a lower binding energy per nucleon. Thus, energy is absorbed, not released. Option (1) is incorrect.

The total binding energy of a nucleus is A×BEAA \times \dfrac{BE}{A}. Although BEA\dfrac{BE}{A} decreases slightly for A>100A > 100, the increase in AA is much more significant, so the total binding energy increases. Option (4) is incorrect.
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