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In a Carbon-dating experiment background counting rate = 10 C/M. How long should the observations be made in order to have an accuracy of 5%?

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In a Carbon-dating experiment background counting rate = 10 C/M. How long should the observations be made in order to have an accuracy of 5%? Assume that both the counting rates are measured for the same time. 14C + background rate = 14.5C/M

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Ns = N0 − NB = 14.5 − 10 = 4.5

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