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 nuclei at
(i) `t=3T_(1//2)` and (ii) `t=5T_(1//2)`.

Explanation

Radioactive Decay Law : The number of atoms disintegrated per second at any instant is directly proportional to the number opf radioactive atoms actually present at that time.
The following graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life and undecayed nuclei at (i) `t=2T_(1//2)`
(ii) `t=4T_(1//2)` included also.