Sometimes a radioactive nucleus decays into a nucleus which itself is radioactive. An example is$Sulphur^{38}\frac{\text { half-life }\longrightarrow}{=2.48 h}Cl^{38}\frac{\text { half-life }\longrightarrow}{=0.62 h}Ar^{38}(Stable)$Assume that we start with 1000 38S nuclei at time $t=0$. The number of $Cl^{38}$ is of count zero at $t=0$ and will again be zero at $t=\infty$. At what value of $t$, would the number of counts be a maximum?