In the study of radioactive first-order disintegration, the "Average Life" () is defined as the reciprocal of the decay constant (). Which of the following relationships perfectly links Average Life t

Question

In the study of radioactive first-order disintegration, the "Average Life" ($T_{av}$) is defined as the reciprocal of the decay constant ($\lambda$). Which of the following relationships perfectly links Average Life to the standard Half-Life ($t_{1/2}$)?

Prashant Kotian · Accepted Answer

Correct answer: B. By definition, . Since , isolating gives . Substituting this back yields . Because , the average life is mathematically equal to .

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