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  • The count rate from of a radioactive liquid is c. Some of the liquid is now discarded. Th

The count rate from \mathrm{100 \mathrm{~cm}^2} of a radioactive liquid is c. Some of the liquid is now discarded. The count rate of the remaining liquid is found to be \mathrm{( \left.\frac{c}{10}\right) }after three half lives. The volume of the remaining liquid in \mathrm{cm}^2 is:-

Option: 1

20


Option: 2

40


Option: 3

60


Option: 4

80


Answers (1)

best_answer

Initial count rate (C R) for 1 \mathrm{~cm}^3 of
\mathrm{\text { liquid }=\frac{c}{100} }
After 3 half -lives, \angle R for 1 \mathrm{~cm}^3 of liquid

\mathrm{=\frac{1}{8} \times \frac{c}{100}}

If u is the volume of remaining liquid then
\begin{aligned} \mathrm{v \times \frac{c}{800}} & =\frac{c}{10} \\ \mathrm{\therefore \quad \frac{v}{80} }& =1 \\ \mathrm{v }& =80 \end{aligned}
 

Posted by

Devendra Khairwa

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