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

Options

A. 75 Bq
B. Less than `75 Bq`
C. More than `75 Bq`
D. `150 Bq`

Answer

C

Explanation

( c) Number of days from January `I^st` to January `24^th = 23` days
Number f half lives `n = (23)/(8.04) = 2.86 (lt 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`.