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Strontium is chemically similar to calcium and can replace calcium in bones. The radiation from ${Sr}^{90}$ can damage bone marrow where blood cells are produced, and lead to serious health problems. The time taken for 99.99% of a sample of ${Sr}^{90}$ to decay is $(λ for S r^{90} = 0.23 y r^{- 1})$

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10 yr

200 yr

40 yr

400 yr

answer is C.

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Detailed Solution

The time taken for 99.99% of a sample of ${Sr}^{90}$ to decay is

$\begin{array}{l} 0.23 \times t = \ln (\frac{100}{0.01}) \\ t = 40 yrs \end{array}$

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