The half-life of carbon-14 is quoted as

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

The half-life of carbon-14 is quoted as T1/2=5730±30 yearsT_{1/2}=5730\pm30\,\text{years}. A fragment of parchment gives a 14^{14}C activity per gram equal to 18.0%18.0\% of that measured in a fresh linen standard. (i) Determine the age of the parchment. (ii) Using differential error propagation, estimate the uncertainty in the calculated age that arises solely from the quoted uncertainty in the half-life. Express your final result for the age with its uncertainty.

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