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Law of Radioactivity

The half-life...

Question

The half-life period and the mean life period of a radioactive element are denoted respectively by $T_{h}$ and $T_{m}$ . Then

T_{h} = T_{m}

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T_{h} > T_{m}

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T_{h} < T_{m}

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T_{h} \geq T_{m}

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Solution

The correct option is D $T_{h} < T_{m}$
$T_{h} = \frac{l n 2}{λ} = \frac{0.693}{λ}$
$T_{m} = \frac{1}{λ}$
where $λ$ is the decay constant
Since, $l n 2 < 1$
Hence, $T_{h} < T_{m}$

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