First slide

Radio activity

Question

A radioactive sample whose half-life is 40h has 18 times more activity than required for safety, then after how many half-lives will the radioactive sample will be safe?

Moderate

Solution

$\begin{array}{l} For safe level of radiation, activity should be smaller than \frac{R_{0}}{18} . \\ \frac{R_{0}}{2^{5}} > \frac{R_{0}}{18} > \frac{R_{0}}{2^{4}} \\ ∴ the number of half - lives needed for safe levels of radiation is 5. \end{array}$

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