The half-life period t_{1/2} of a radioactive | vedclass

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(D) . The half-life $t_{1/2}$ of a radioactive element is given as $N$ years.Radioactive decay follows first-order kinetics,where the amount of substa

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Infinity

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(D) . The half-life $t_{1/2}$ of a radioactive element is given as $N$ years.Radioactive decay follows first-order kinetics,where the amount of substance remaining is given by $N(t) = N_0 e^{-\lambda t}$.For the substance to decay completely,$N(t)$ must be $0$,which implies $e^{-\lambda t} = 0$.This condition is only satisfied as $t 	o \infty$.Therefore,the time required for complete decay is infinity.

The half-life period $t_{1/2}$ of a radioactive element is $N$ years. The period of its complete decay is

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