1. Tardigrade
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  4. 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 τ. The growth curve for Y intersects the decay curve for X after time T. What is the time T in multiple of τ ?

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Q. 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 $\tau$. The growth curve for $Y$ intersects the decay curve for $X$ after time $T$. What is the time $T$ in multiple of $\tau$ ?Physics Question Image

Nuclei

Solution:

At $t=T$
$N_{x}=N_{y}$ (one half life)
$\Rightarrow T=\tau$