The half life of a radioactive substance is $20$ minutes. In $........\,minutes$ time,the activity of substance drops to $\left(\frac{1}{16}\right)^{ th }$ of its initial value.
$80$
$20$
$40$
$60$
The initial activity of a certain radioactive isotope was measured as $16000\ counts\ min^{-1}$. Given that the only activity measured was due to this isotope and that its activity after $12\, h$ was $2000\ counts\ min^{-1}$, its half-life, in hours, is nearest to
The activity of a radioactive sample
The graph shows the $\log$ of activity $\log R$ of a radioactive material as a function of time $t$ in minutes.The half-life (in minute) for the decay is closest to
The half life period of radium is $1600$ years. The fraction of a sample of radium that would remain after $6400$ years is
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 $T$ ?