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Question

Draw a graph showing the variation of decay rate with number of active nuclei.

Solution
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By law of radioactive decay
$$\quad -\cfrac { dN }{ dt } \propto \lambda N\quad $$
$$N$$ is the number of radioactive nuclei in the sample
So, $$\cfrac { dN }{ dt } $$ can be negative
The variation of decay rate with number of active nuclei is shown by the graph

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