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A Parchment Is Offered for Sale at a Paris Flea 14C{ } ^ { 14 } \mathrm { C }

Question 11

Short Answer

A parchment is offered for sale at a Paris flea market. The owner claims it is at least 2000 years old. However, a carbon-dating test shows that 14C{ } ^ { 14 } \mathrm { C } - 12C{}^{12} \mathrm { C } ratio for the manuscript is 95% of the corresponding ratio for currently manufactured parchment. How old is the manuscript? (The decay constant of 14C{ } ^ { 14 } \mathrm { C } is 0.00012)Enter your answer exactly in the form lna b\frac { \ln a } { \mathrm {~b} } (no units).

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