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AP Physics 2
15.7 Fission, Fusion, and Nuclear Decay
AdvancedMCQMathematicalConceptual23k
A graph showing an exponential decay curve of carbon-14 activity A versus time t in years. The vertical axis represents activity from 0 to A_0 with marked ticks at A_0, 0.5 A_0, 0.25 A_0, and 0.125 A_0. The horizontal axis represents time t from 0 to 20,000 years with marked ticks at 0, 5,730 yr, 11,460 yr, and 17,190 yr. The curve starts at (0, A_0) and smoothly passes through (5730, 0.5 A_0), (11460, 0.25 A_0), and (17190, 0.125 A_0), approaching zero asymptotically. No other labels, lines, text, or axes appear.
Activity versus time for carbon-14 decay.
An archaeological wood sample is analyzed using carbon-14 dating (\(^{14}\text{C}\), half-life \(T_{1/2} = 5{,}730 \text{ years}\)). The measured activity of \(^{14}\text{C}\) per gram of carbon in the sample is found to be \(12.5\%\) of the activity measured per gram in a living organism. Which choice correctly states the estimated age of the sample and provides the correct physical justification regarding measurement uncertainty?

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