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The table that follows shows some measurements of the decay rate of a sample of ¹²⁸ / , a radio nuclide often used medically as a tracer to measure the rate at which iodine is absorbed by the thyroid gland.
The half life t_{1/ 2} for this radio nuclide.

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answer is A.

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Detailed Solution

$\begin{array}{l} A = A_{0} e^{- λt} \Rightarrow \ln A = \ln A_{0} - λt \\ ∴ λ = \frac{\ln A_{0} - \ln A}{t} = \frac{6 .2 - 0}{225} = 0 .0275 \min^{- 1} \\ ∴ T_{1 / 2} = \frac{0 .693}{λ} = 25 \min \end{array}$

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