The rate of disintegration of a radioactive sample is $R$ and the number of atoms present at any time $t$ is $N$. When $\frac{R}{N}$ is taken along $Y$-axis and $t$ is taken along $X$-axis, the correct graphs is

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Aicharya · Accepted Answer

Law of radioactive decay is given as, $\frac{d N}{d t}=-\lambda N$ where, $\frac{d N}{d t}=$ rate of disintegration So, $R=-\lambda N \Rightarrow \frac{R}{N}=-\lambda=	ext { constant }$ where, $\lambda=$ decay constant So, the graph $\frac{R}{N}$ versus $t$ is as, So, the correct graph shown in option (d).

The rate of disintegration of a radioactive sample is $R$ and the number of atoms present at any time $t$ is…

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