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A \( 100 \mathrm{ml} \) solution having activity \( 50 \mathrm{dps} \) is kept in a beaker.
It is now constantly diluted by adding water at a constant rate
\( \mathrm{P} \) of \( 10 \mathrm{ml} / \mathrm{sec} \) and \( 2 \mathrm{ml} / \mathrm{sec} \) of solution is constantly being taken W out. Find the activity of \( 10 \mathrm{ml} \) solution which is taken out, assuming half life to be effectively very large :
(A) \( 10\left[1-\left(\frac{2}{7}\right)^{1 / 4}\right] \)
(B) \( 10\left[1-\left(\frac{5}{7}\right)^{1 / 2}\right] \)
(C) \( 50\left[1-\left(\frac{5}{7}\right)^{1 / 4}\right] \)
(B) \( 50\left[1-\left(\frac{2}{7}\right)^{1 / 2}\right] \)
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