Show that the decay rate R of a sample of radionuclide is related to the number of radioactive nuclei N at the same instant by the expression `R=lambdaN`.
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According to radioactive decay law. `N=N_0d^(-lambdat)`. Rate of decay, `R=-(dN)/(dt)=(-d)/(dt)(N_0e^(-lambdat))=lambdaN_0e^(-lambdat)=lambdaN`.
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