Question

The rate of decay $\left(R\right)$ of nuclei in a radioactive sample is plotted against time $\left(t\right)$. Which of the following best represents the resulting curve?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The rate of decay is given by,

$R=\frac{dN}{dt}=-\lambda N=-\lambda N_0{e}^{-\lambda t}$

$\therefore R=\frac{dN}{dt}=-\lambda N_0{e}^{-\lambda t}$

So, the graph will be an exponential curve.

Hence, $\left(A\right)$ is the correct answer.