The half-time corresponds to the time a function with exponential decay takes to takes its value to half of its original value. Where N 0 is the initial quantity N t is the remaining quantity after time t t 12 is the half-life t is the mean lifetime l is the decay constant. As you can might be able to tell from Graph 1Half life is a particular case of exponential decay.
For example the medical sciences refer to the.
If an initial population of size P has a half-life of d years or any other unit of time then the formula to find the final number A in t years is given by A P 12td. N of 5730 is equal to the amount we start off with. Im predominantly using an exponential. Every decaying substance has its own half life because half life is the amount of time required for exactly half of our original substance to decay leaving exactly half of what we started with.