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(D) The half-life $(T_{1/2})$ of a radioactive element is defined as the time required for half of the radioactive nuclei in a sample to decay.The dec

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Nature of the element

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(D) The half-life $(T_{1/2})$ of a radioactive element is defined as the time required for half of the radioactive nuclei in a sample to decay.The decay constant $(\lambda)$ is a characteristic property of a radioactive isotope and is independent of external physical conditions such as temperature, pressure, or the initial amount of the substance present.Since $T_{1/2} = \frac{\ln(2)}{\lambda}$, the half-life depends solely on the decay constant, which is determined by the nature of the radioactive element itself.Therefore, the correct option is $(D)$.

Half-life of a radioactive element depends upon:

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