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(D) Radioactive decay follows $1^{st}$ order kinetics.The concentration at time $t$ is given by $C_t = C_0 e^{-kt}$.For a given decrease in concentrat

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$k_C > k_B > k_A$

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(D) Radioactive decay follows $1^{st}$ order kinetics.The concentration at time $t$ is given by $C_t = C_0 e^{-kt}$.For a given decrease in concentration,the time taken $t$ is inversely proportional to the decay constant $k$ (i.e.,$k \propto \frac{1}{t}$).From the graph,species $C$ decays the fastest (reaches lower concentration in the shortest time),followed by $B$,and then $A$ (which decays the slowest).Therefore,the decay constants follow the order $k_C > k_B > k_A$.

The decay profiles of three radioactive species $A$,$B$ and $C$ are given below:
These profiles imply that the decay constants $k_A$,$k_B$ and $k_C$ follow the order:

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The decay profiles of three radioactive species $A$,$B$ and $C$ are given below:These profiles imply that the decay constants $k_A$,$k_B$ and $k_C$ follow the order: