In a time of \(10\) minutes, the activity of a radioactive sample becomes
\[
\frac{1}{\sqrt5}
\]
times its initial activity. After \(10\) more minutes, if its activity becomes \(K\) times the initial activity, the value of \(K\) is
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Radioactive activity follows
\[
\boxed{
A=A_0e^{-\lambda t}.
}
\]
Equal successive time intervals multiply the activity by the same decay factor.