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Question

The nuclide $$^{131}I$$ is radioactive, with a half-life of $$8.04$$ days. At noon on January $$1$$, the activity of a certain sample is $$60089$$. The activity at noon on january $$24$$ will be

A
$$75\ Bq$$
B
$$150\ Bq$$
C
Less than $$75\ Bq$$
D
More than $$75\ Bq$$
Solution
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Correct option is C. More than $$75\ Bq$$
Number of days from January $$1^{st}$$ to January $$24^{th}=23$$ days.Number of half lives $$n=\dfrac{23}{8.04}=2.86 (< 3)$$
In three half lives activity becomes $$75\ Bq$$, but the given number of half lives are lesser than $$3$$ so activity becomes greater than $$75\ Bq$$

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