Answer to Question #95987 in Atomic and Nuclear Physics for Zahir

Question #95987
The half life of radium is 1600 years. If a sample of radium-226 has an original activity of 200 bq, what will it’s activity be after 4800 years
1
Expert's answer
2019-10-07T10:56:56-0400

After time tt the number of radium atoms will be 2t/T2^{-t/T} times its original number, where TT is the half-life time. In our case, t/T=4800/1600=3t/T = 4800/1600 = 3, and 23=1/82^{-3} = 1/8. Since the radioactivity is proportional to the number of radioactive atoms, it will decrease 8 times and, therefore, will constitute 200/8 = 25 bq. The answer is: 25 bq.


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Comments

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04.06.22, 21:43

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02.11.21, 19:10

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