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The mean life time (in hours)  of a radionuclide if its activity decrease by 4% for every 1h, would be [product is non-radioactive i.e. stable].

Option: 1

25


Option: 2

1.024


Option: 3

2


Option: 4

30


Answers (1)

best_answer

As we learn

Mean life -

T_{mean}= \frac{1}{\lambda }

- wherein

It is defined as the time in which the number of nuclei reduces to \left ( \frac{1}{e} \right )part of the initial number of nuclei

 

 \frac{dN}{dt}=\frac{-0.04N}{3600}

Compare this equation with

\frac{dN}{dt}= -\lambda N

\lambda =1.1*10^{-5}s^{-1}

T=\frac{1}{\lambda }=\frac{3600}{0.04}=25h

 

 

Posted by

manish painkra

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