Modern Physics 3 Question 21

21. The decay constant of a radioactive sample is $\lambda$. The half-life and mean-life of the sample are respectively given by

$(1989,2 M)$

(a) $1 / \lambda$ and $(\ln 2) / \lambda$

(b) $(\ln 2) / \lambda$ and $1 / \lambda$

(c) $\lambda(\ln 2)$ and $1 / \lambda$

(d) $\lambda /(\ln 2)$ and $1 / \lambda$

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Solution:

  1. As we know, $T _{y 2}=\frac{\ln 2}{\lambda}$ and $\tau=\frac{1}{\lambda}$.


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