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AP Physics 2
15.7 Fission, Fusion, and Nuclear Decay
AdvancedMCQConceptual21.1k
A 2D Cartesian graph with a horizontal axis labeled Mass number, A spanning from 0 to 260 with tick marks at 0, 50, 100, 150, 200, 250 and a vertical axis labeled Binding energy per nucleon, E_b / A (MeV/nucleon) spanning from 0 to 10 with tick marks at 0, 2, 4, 6, 8, 10. A smooth, solid curve begins near (1, 1.1), rises steeply through points near (4, 7.1) and (12, 7.7), reaches a peak at approximately (56, 8.8), and then gently decreases with a slight downward slope through (120, 8.5) and ends near (238, 7.6). A vertical dashed line extends from the horizontal axis at A = 56 up to the peak of the curve, labeled ^{56}Fe near the peak. No other labels, lines, text, or axes appear.
Average binding energy per nucleon as a function of mass number.
The graph shows the average binding energy per nucleon, \(E_b / A\), as a function of mass number \(A\) for naturally occurring nuclei. Based on the graph, which of the following statements correctly explains how changes in binding energy per nucleon determine whether a nuclear reaction releases energy?

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