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.

Show that the decay rate R of a sample of radionuclide is related to t

1.	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.
Answer» SOLUTION :`N=N_0e^(-lambdat)` differentiating both sides we get `(DN)/(DT) =-lambdaN_0e^(-lambdat)=-lambdaN` i.e, decay rate `R=- (dN)/(dt)=lambdaN`

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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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