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>>First Order Radioactive Decay
>> $The nuclide ^131I is radioactive, with a$

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

$75 B q$

B

Less than $75 B q$

C

More than $75 B q$

D

$150 B q$

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Updated on : 2022-09-05

Solution

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Correct option is C)

Number of days from January $1^{s t}$ to January $2 4^{t h} = 23$ days.Number of half lives $n = \frac{2 3}{8 . 0 4} = 2.86 (< 3)$
In three half lives activity becomes $75 B q$ , but the given number of half lives are lesser than $3$ so activity becomes greater than $75 B q$

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