Original activity from total counts, short decay

In summary, "original activity" and "total counts" are terms used in the context of short decay to refer to the initial amount of radioactive material and the total number of particles emitted during decay, respectively. The "original activity" can be calculated by dividing the "total counts" by the decay constant, and it decreases over time as the radioactive material decays. This calculation can be applied in fields such as nuclear medicine, environmental science, and archaeology.
  • #1
dirks555
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Homework Statement



I am supposed to calculate the original activity of a radioactive from the following data:

Total counts N
Measurement time t

Since the half-life is short compared to the measure time i can't just divide the counts with the time passed. I really have no clue on how to do this!

Homework Equations



A=A_0e^lambda*t

The Attempt at a Solution

 
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  • #2
Do you mean that at time t you know the total number of all decays up to t? What other information do you have?

RGV
 

1. What is "original activity" and "total counts" in the context of short decay?

"Original activity" refers to the amount of radioactive material present at the beginning of a decay process. "Total counts" refer to the total number of radioactive particles emitted during the decay process.

2. How is "original activity" calculated from "total counts" in short decay?

"Original activity" can be calculated by dividing the "total counts" by the decay constant, which is a measure of how quickly the radioactive material decays.

3. What is the formula for calculating "original activity" from "total counts" in short decay?

The formula for calculating "original activity" is: Original Activity = Total Counts / Decay Constant

4. How does "original activity" change over time in short decay?

In short decay, "original activity" decreases over time as the radioactive material undergoes decay and emits particles. This is because the total number of particles emitted increases over time, while the decay constant remains constant.

5. What are some applications of calculating "original activity" from "total counts" in short decay?

Calculating "original activity" from "total counts" in short decay can be used in various fields, such as nuclear medicine, environmental science, and archaeology. It can help determine the age of artifacts or fossils, monitor environmental pollution, and assist in medical imaging and cancer treatments.

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