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Sometimes a radioactive nucleus decays i...

Sometimes a radioactive nucleus decays into a nucleus which itself is radioactive . An example is
`""^(38)"Sulphur"underset(=2.48h)overset("half -life")(to) ""^(38)Cl underset(=0.62 h)overset("half-life")(to) ""^(38)Ar(" stable")`
Assume that we start with `1000 ""^(38)S` nuclei at time t=0. the number of `""^(38)Cl` 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?

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