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(B) The number of undecayed atoms at time $t$ is given by $N = N_0 e^{-\lambda t}$.The number of decayed atoms is $N_d = N_0 - N = N_0(1 - e^{-\lambda

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$B$

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(B) The number of undecayed atoms at time $t$ is given by $N = N_0 e^{-\lambda t}$.The number of decayed atoms is $N_d = N_0 - N = N_0(1 - e^{-\lambda t})$.The fraction of radioactive material that has decayed is $f = \frac{N_d}{N_0} = \frac{N_0(1 - e^{-\lambda t})}{N_0} = 1 - e^{-\lambda t}$.At $t = 0$,$f = 1 - e^0 = 0$.As $t 	o \infty$,$f 	o 1 - 0 = 1$.The function $f(t) = 1 - e^{-\lambda t}$ represents an exponential growth curve that starts from $0$ and approaches $1$ asymptotically. This corresponds to curve $B$ in the graph.

The fraction $f$ of radioactive material that has decayed in time $t$,varies with time $t$. The correct variation is given by the curve

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