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A fraction f₁ of a radioactive sample decays in one mean life, and a fraction f₂ decays in one half-life.

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f₁ > f₂

May be (1), (2) or (3) depending on the values of the mean life and half-life.

f₁ = f₂

f₁ < f₂

answer is A.

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Detailed Solution

$\begin{array}{rcl} T_{mean} & = & \frac{T_{1 / 2}}{0.693} \\ T_{mean} & > & T_{1 / 2} \\ ∴ f_{1} & > & f_{2} \end{array}$

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