Question:

Assume that the nuclear binding energy per nucleon ( $B/A$ ) versus mass number ( $A$ ) is as shown in the figure. Use this plot to choose the correct choice given below.

Updated On: Jul 28, 2022
  • Fusion of two nuclei with mass numbers lying in the range of 1 < A < 50 will release energy.
  • Fusion of two nuclei with mass numbers lying in the range of 51 < A < 100 will consume energy.
  • Fission of a nucleus lying in the mass range of 100 < A < 200 will release energy when broken into two equal fragments.
  • Fission of a nucleus lying in the mass range of 200 < A < 260 will release energy when broken into two equal fragments.
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The Correct Option is D

Solution and Explanation

In fusion, two or more lighter nuclei combine to make a comparatively heavier nucleus. In fission, a heavy nucleus breaks into more than one comparatively lighter nucleus. Further, energy will be released in a nuclear process if total binding energy increases. Therefore Correct option is that the fission of a nucleus lying in the mass range of 200 < A < 260 will release energy when broken into two equal fragments.
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Concepts Used:

Nuclei

In the year 1911, Rutherford discovered the atomic nucleus along with his associates. It is already known that every atom is manufactured of positive charge and mass in the form of a nucleus that is concentrated at the center of the atom. More than 99.9% of the mass of an atom is located in the nucleus. Additionally, the size of the atom is of the order of 10-10 m and that of the nucleus is of the order of 10-15 m.

Read More: Nuclei

Following are the terms related to nucleus:

  1. Atomic Number
  2. Mass Number
  3. Nuclear Size
  4. Nuclear Density
  5. Atomic Mass Unit