A two-step nuclear scheme is proposed: Step I: Four nuclei fuse to form one nucleus

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

A two-step nuclear scheme is proposed: Step I: Four 4 ⁣He^{4}\!\text{He} nuclei fuse to form one 16 ⁣O^{16}\!\text{O} nucleus. Step II: The resulting 16 ⁣O^{16}\!\text{O} nucleus subsequently splits into two 8 ⁣Be^{8}\!\text{Be} nuclei. Based solely on typical trends of average binding energy per nucleon with mass number, which statement best describes the net energy change for the entire two-step sequence? (a) Net release of energy, because fusion in Step I liberates energy and for nuclei lighter than iron the release always outweighs any subsequent processes. (b) Net absorption of energy, because Step I releases energy but Step II absorbs a slightly larger amount. (c) No significant energy change, because the energy released in Step I almost exactly cancels the energy absorbed in Step II. (d) Net absorption of energy, because both steps move the system away from the region of maximum binding energy near iron, so each step must absorb energy.

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