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13.Nuclei
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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
Less than $75\, Bq$
C
More than $75\, Bq$
D
$150\, Bq$
Solution

(c) Number of days from January $1^{st}$ to January $24^{th}$ = $23$ days.
Number of half lives $n =$ $\frac{{23}}{{8.04}} = 2.86( < 3)$
In three half lives activity becomes $75\, Bq$, but the given number of half lives are lesser than $3$ so activity becomes greater than $75\, Bq.$
Standard 12
Physics
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