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Show that the decay rate 'R' of a sample...

Show that the decay rate 'R' of a sample of a radionuclide is related to the number of radioactive nuclei 'N' at the same instant by the expression `R=lamdaN`.

Text Solution

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Rate of disintegration of a radioactive sample,
`R=(dN)/(dt)`
According to radioactive decay law,
`-(dN)/(dt)propN`
`-(dN)/(dt)=lamdaNorR=lamdaN`.
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