Question

.(a)The number of nuclei of a given radioactive nucleus at time t=0 and t=T are N₀and N_O/n respectively. Obtain an expression for half life of this nucleus in terms of n and T.
(b) Identify the nature of radioactive radiations emitted in each step of the decay chain given below.
_ZX^A ------> _Z-2Y^A-4-------> _Z-2Y^A-4---------->_Z-1 W ^A-4

Answer 1

$$\begin{gathered} Dearstudent \\ N=N_0{e}^{-\lambda t} \\ \frac{N_0}{n}=N_0{e}^{-\lambda T} \\ \frac{1}{n}=e^{-\lambda T} \\ \ln \frac{1}{n}=-\lambda T \\ \ln n=\frac{\ln 2}{t_{1/2}}T \\ {t}_{1/2}=\frac{T\ln 2}{\ln n} \\ Nextq \\ 1streactionisalphadecay\sin ceatomicnumberisdifferentby2 \\ 2ndreactionsammadecay\sin cethereisnodifferenceinatomicnumberbutelementhaschanged \\ 3rdreactionisbetadecaybecauetheatomicnumberhangesby1 \\ regards \end{gathered}$$