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(a) The number of nuclei of a given radioactive sample at time t = 0 and t= T are N_(0) and N_(0)/n respectively. Obtain an expression for the half-life T_(1/2). of the nuclide in terms of n and T. (b) Write the basic nuclear process underlying beta^(-)-decay of a given radioactive nucleus. |
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Answer» Solution :(a) As per LAW of RADIOACTIVE decay `N_(t)=N_(0)E^(-lambdat) implies 1/n=e^(-lambdaT) or n=e^(lambdaT) or lambda=(log_(e)n)/T` `THEREFORE` Half-life `T_(1/2)=0.693/(lambda)=(0.683T)/(log_(e)n)` (b) |
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