p43_041 - 41. If N is the number of undecayed nuclei...

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41. If N is the number of undecayed nuclei present at time t ,then dN dt = R λN where R is the rate of production by the cyclotron and λ is the disintegration constant. The second term gives the rate of decay. Rearrange the equation slightly and integrate: Z N N 0 dN R λN = Z t 0 dt where N 0 is the number of undecayed nuclei present at time t = 0. This yields 1 λ ln R λN R λN 0 = t. We solve for
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