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  • A radioactive sample of decay constant  starts decaying at time . The instant of time at which probability o

A radioactive sample of decay constant  starts decaying at time t=0. The instant of time at which probability of survival of a nucleus is twice the probability of it having decayed is

Option: 1

\frac{In\; 3}{\lambda }


Option: 2

\frac{In \left ( \frac{3}{2} \right )}{\lambda }


Option: 3

\frac{In\; 2}{\lambda }

 


Option: 4

\frac{In \left ( \frac{3}{2} \right )}{2\lambda }


Answers (1)

best_answer

Answer (2)

e^{-\lambda t}=2\left ( 1-e^{-\lambda t} \right )

3e^{-\lambda t}=2

\lambda t=In\left ( \frac{3}{2} \right )

t=\frac{In\left ( \frac{3}{2} \right )}{\lambda }

Posted by

sudhir.kumar

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