Difference between revisions of "Decay Curve"
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<math>𝑁(𝑡)=𝑁_02^{−𝑡/𝑡_{1/2}}</math> | <math>𝑁(𝑡)=𝑁_02^{−𝑡/𝑡_{1/2}}</math> | ||
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Where: | Where: | ||
| − | 𝑁(𝑡) is the number of undecayed [[Atomic Nucleus|nuclei]] at [[time]] 𝑡 | + | 𝑁(𝑡) is the number of undecayed [[Atomic Nucleus|nuclei]] at [[time]] (𝑡) |
𝑁<sub>0</sub> is the initial number of [[Atomic Nucleus|nuclei]] | 𝑁<sub>0</sub> is the initial number of [[Atomic Nucleus|nuclei]] | ||
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𝜆 is the [[Decay Constant|decay constant]] for the [[isotope]]. | 𝜆 is the [[Decay Constant|decay constant]] for the [[isotope]]. | ||
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===Examples=== | ===Examples=== | ||
The [[Decay (Physics)|decay]] curve of Uranium-238 showing its decrease over millions of years. | The [[Decay (Physics)|decay]] curve of Uranium-238 showing its decrease over millions of years. | ||
Monitoring the [[Decay (Physics)|decay]] curve of medical isotopes to ensure they remain effective for treatment. | Monitoring the [[Decay (Physics)|decay]] curve of medical isotopes to ensure they remain effective for treatment. | ||
Revision as of 14:56, 23 May 2024
Key Stage 5
Meaning
A decay curve is an exponential decrease curve showing how the mass or activity of a radioactive isotope decreases with time.
About Decay Curve
Represents the rate of decay of a radioactive substance. Shows the characteristic exponential decay pattern of radioactive materials. Used to determine the half-life of a radioactive substance. Helps in understanding the stability and longevity of isotopes.
Formula
The curve is described by the equation
\(𝑁(𝑡)=𝑁_0𝑒^{−𝜆𝑡}\)
\(𝑁(𝑡)=𝑁_02^{−𝑡/𝑡_{1/2}}\)
Where:
𝑁(𝑡) is the number of undecayed nuclei at time (𝑡)
𝑁0 is the initial number of nuclei
𝑡 is the time reading from the start of the experiment
𝜆 is the decay constant for the isotope.
Examples
The decay curve of Uranium-238 showing its decrease over millions of years. Monitoring the decay curve of medical isotopes to ensure they remain effective for treatment.