Draw a graph showing the variation of decay rate with the number of active nuclei.
Explanation:-
The graph will show a straight line, where the slope of the line represents the decay constant λ, and the line will pass through the origin.
The decay rate (R) of a radioactive sample is related to the number of active nuclei N (the number of radioactive atoms still present in the sample) and the decay constant λ. The relationship is given by:
From the Rutherford and Soddy law, we get, that radioactive decay can be expressed as