Which of the following mathematically expresses the relationship between the Average Life Period () — Nuclear Chemistry and Radioactivity Chemistry Question
Question
Which of the following mathematically expresses the relationship between the Average Life Period ($T$) and the Half-Life Period ($T_{1/2}$) of a radioactive substance?
Answer: C
💡 Solution & Explanation
Average life $T$ is the reciprocal of the decay constant ($T = 1/\lambda$). Since $\lambda = 0.693/T_{1/2}$, substituting gives $T = T_{1/2} / 0.693 = 1.44 \times T_{1/2}$.
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