Gujarati
13.Nuclei
medium

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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