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  • Let T be the mean life of a radioactive sample,   of the active nuclei present in the sample initially will de

Let T be the mean life of a radioactive sample, 75%  of the active nuclei present in the sample initially will decay in time-

Option: 1

2 \mathrm{~T}


Option: 2

\frac{T \ln 2}{2}


Option: 3

4 T


Option: 4

2 T \ln 2


Answers (1)

best_answer

When 75% decays , 25% left undecayed . This requires a time 

                t=2 t_{1 / 2}=2 \frac{\ln 2}{\lambda}

As         \begin{aligned} & \frac{1}{\lambda}=T . \\ & t=2 T \ln 2 \end{aligned}

Posted by

Gautam harsolia

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