Arrange the following elements in the increasing order of their binding energies per nucleon.
A. 4He
B. 6Li
C. 14N
D. 12C
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → B, A, C, D
Among light nuclei the binding energy per nucleon rises with mass number, but not smoothly: nuclei built of alpha-particle units, such as 4He and 12C, are unusually tightly bound. Approximate values:
\( {}^{6}\mathrm{Li} \text{ (B)}: 5.3\,\mathrm{MeV} \)
\( {}^{4}\mathrm{He} \text{ (A)}: 7.1\,\mathrm{MeV} \)
\( {}^{14}\mathrm{N} \text{ (C)}: 7.5\,\mathrm{MeV} \)
\( {}^{12}\mathrm{C} \text{ (D)}: 7.7\,\mathrm{MeV} \)
Increasing order: 6Li < 4He < 14N < 12C, that is, B, A, C, D.