State the relation between average life and decay constant.
(N/A) The average life (or mean life),denoted by $\tau$,is defined as the ratio of the total life time of all radioactive nuclei to the total number of nuclei present initially.
Mathematically,the relation between average life $\tau$ and decay constant $\lambda$ is given by:
$\tau = \frac{1}{\lambda}$
where $\lambda$ is the decay constant of the radioactive substance.
Mathematically,the relation between average life $\tau$ and decay constant $\lambda$ is given by:
$\tau = \frac{1}{\lambda}$
where $\lambda$ is the decay constant of the radioactive substance.
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The graph represents the decay of a newly prepared sample of radioactive nuclide $X$ to a stable nuclide $Y$. The half-life of $X$ is $t$. The growth curve for $Y$ intersects the decay curve for $X$ after time $T$. What is the time $T$?
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View SolutionThe graph represents the decay of a newly prepared sample of radioactive nuclide $X$ to a stable nuclide $Y$. The half-life of $X$ is $\tau$. The growth curve for $Y$ intersects the decay curve for $X$ after time $T$. What is the time $T$?
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View SolutionIn a radioactive substance at $t = 0$,the number of atoms is $8 \times 10^4$. Its half-life period is $3 \ years$. The number of atoms $1 \times 10^4$ will remain after an interval of ........... $years$.
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View SolutionAt $t = 0$,the counting rate from a radioactive source is $1600 \text{ counts/s}$,and at $t = 8 \text{ s}$,it is $100 \text{ counts/s}$. The counting rate at $t = 6 \text{ s}$ will be:
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View SolutionTwo radioactive elements $R$ and $S$ disintegrate as:
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Starting with the number of atoms of $R$ and $S$ in the ratio of $2:1$,what will be this ratio after the lapse of three half-lives of $R$?
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