You are a medical physicist at a hospital. You just installed a brand new isotope generator. To test the instrument out you make a small batch of a radioactive isotope. Then you place the product in your digital radiation counter. The counter measures the activity of the sample over a time period of several minutes. The activity as a function of time is shown in the figure below. Activity (kBq) 10 9 8 7 6 4 3 2 1 0 0 1 2 3 4 6 7 8 9 10 5 t (min) What is the decay constant of the isotope? Please, notice that the curve passes through at least one grid intersection point. What is the mean lifetime of the sample? What is the half life of the isotope? Can you estimate the half life from the graph? If you still have several tries left, just submit your estimation. Maybe you get the correct answer.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Nuclear Physics
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Problem 48P
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You are a medical physicist at a hospital. You just installed a brand new isotope generator. To test the instrument out you make
a small batch of a radioactive isotope. Then you place the product in your digital radiation counter. The counter measures the
activity of the sample over a time period of several minutes. The activity as a function of time is shown in the figure below.
Activity (kBq)
10
9
8
7
5
4
3
2
1
0
0 1
2
3
4
5
t (min)
6 7 8 9 10
What is the decay constant of the isotope? Please, notice that the curve passes through at least one grid intersection point.
What is the mean lifetime of the sample?
What is the half life of the isotope? Can you estimate the half life from the graph? If you still have several tries left, just submit
your estimation. Maybe you get the correct answer.
How many radioactive nuclei did the sample have at the start of the measurement?
Transcribed Image Text:You are a medical physicist at a hospital. You just installed a brand new isotope generator. To test the instrument out you make a small batch of a radioactive isotope. Then you place the product in your digital radiation counter. The counter measures the activity of the sample over a time period of several minutes. The activity as a function of time is shown in the figure below. Activity (kBq) 10 9 8 7 5 4 3 2 1 0 0 1 2 3 4 5 t (min) 6 7 8 9 10 What is the decay constant of the isotope? Please, notice that the curve passes through at least one grid intersection point. What is the mean lifetime of the sample? What is the half life of the isotope? Can you estimate the half life from the graph? If you still have several tries left, just submit your estimation. Maybe you get the correct answer. How many radioactive nuclei did the sample have at the start of the measurement?
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