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

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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-\frac{dn}{dt}=\lambda N

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