1.

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).

Answer»

Solution :
The number of nuclei UNDERGOING decay per unit time, at any instant, is proportional to the TOTAL number of nuclei in the SAMPLE at that instant.
Alternatively :
`- (d N)/( dt) prop N`
`RARR (dN)/( dt ) = - lambda N`


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