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(a) State the law of radioactive decay. ...

(a) State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half-life `T_(1/2)`.
Depict in the plot the number of undecayed nucei at (i) `t=3T_(1/2)` and (ii) `t=5T_(1/2)`.
(b) The half-life, of a given radioactive nuclide, is 138.6 days. What is the mean life of this nuclide? After how much time will a given sample of this radioactive nuclide get reduced to only 12.5% of its initial value?

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(b) 200days, 415.8days
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