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(B) The activity $A$ of a radioactive sample is given by the formula $A = -\frac{dN}{dt} = \lambda N = \lambda N_0 e^{-\lambda t}$.Here,$N_0$ is the i

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$B$

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(B) The activity $A$ of a radioactive sample is given by the formula $A = -\frac{dN}{dt} = \lambda N = \lambda N_0 e^{-\lambda t}$.Here,$N_0$ is the initial number of nuclei,$\lambda$ is the decay constant,and $t$ is time.This equation shows that the activity $A$ decreases exponentially with time $t$.Graphically,an exponential decay starting from a positive value at $t=0$ and approaching zero as $t 	o \infty$ is represented by curve $B$.

In the figure,$X$ represents time and $Y$ represents the activity of a radioactive sample. The activity of the sample varies with time according to which curve?

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