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From the given plot of the decay rate R versus tume t of some radioactive nuclie,the half life of nuclei in hours can be estimated to be

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SAGA

8 Years agoGrade 12th pass

1 Answer

Eshan

8 Years ago

Dear student,

$R=-\dfrac{dN}{dt}=\lambda N$
$\implies lnR=ln(\lambda N)$
Hence slope of given curve= $\dfrac{d}{dt}lnR=\dfrac{1}{N}\dfrac{dN}{dt}=\dfrac{1}{N}(\lambda N)=\lambda$
$\implies \lambda=\dfrac{5}{3}$
Hence half life= $\dfrac{ln2}{\lambda}=\dfrac{3}{5}ln 2$

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