Most nuclear
decays occur independently (unlike those that occur in a
chain reaction) where a given fraction of nuclei decay in
a given time, independent of the number of nuclei. In a
time D that
decay are:NThe number
that have not decayed at time and N(t)t is the exponential decay time. It
is termed "exponential" because the solution to
the above equation is:where l = 1/t is known as the decay constant.A N_{0}:
Taking the logarithm
of both sides of the above equation, gives the half life Working problems with exponential decays are good practice for many other fields. Exponential growth and decay are common concepts in biology, economics, and other sciences. |