Question:
A radioactive substance emits $100$ beta particles in the first $2$ seconds and $50$ beta particles in the next $2$ seconds. The mean life of the sample is
A radioactive substance emits $100$ beta particles in the first $2$ seconds and $50$ beta particles in the next $2$ seconds. The mean life of the sample is
Updated On: May 30, 2022
- $4$ seconds
- $2$ seconds
- $\frac{2}{0.693}$ seconds
- $2\times 0.693 $ seconds
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The Correct Option is C
Solution and Explanation
Given, In $1\,st$ two seconds $100 \beta$ partieles ?nd in next two seconds $50 \beta$ particles are emitted
$\therefore T_{1 / 2}=2 \,s$
Hence, $T_{m}=\frac{T_{1 / 2}}{0.693}=\frac{2}{0.693}$
$\therefore T_{1 / 2}=2 \,s$
Hence, $T_{m}=\frac{T_{1 / 2}}{0.693}=\frac{2}{0.693}$
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