If $f$ denotes the ratio of the number of nuclei decayed $(N_{d})$ to the number of nuclei at $t=0$ $(N_{0})$,then for a collection of radioactive nuclei,the rate of change of $f$ with respect to time is given as: [$\lambda$ is the radioactive decay constant]
- A$\lambda(1-e^{-\lambda t})$
- B$-\lambda e^{-\lambda t}$
- C$\lambda e^{-\lambda t}$
- D$-\lambda(1-e^{-\lambda t})$
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