Decay Curve
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
- The decay curve represents the rate of decay of a radioactive substance.
- The decay curve shows the characteristic exponential decay pattern of radioactive materials.
- The decay curve is used to determine the half-life of a radioactive substance.
- The decay curve helps in understanding the stability and longevity of isotopes.
Formula
The curve is described by the equation
\(π(π‘)=π_0π^{βππ‘}\)
\(π(π‘)=π_02^{βπ‘/π‘_{1/2}}\)
Where:
π(π‘) is the number of undecayed nuclei at time (π‘)
π0 is the initial number of nuclei
π‘ is the time reading from the start of the experiment
π is the decay constant for the isotope.
t1/2 is the half-life of a given 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.