establish a relation between half life and mean life
We know that,
N(t)= N0e-λt …(1)
R is defined as,
R= -dN/dt
R= λN0e-λt
R=R0e-λt…(2)
Thus, from (1)
R = R0e-λt
R- total decay rate
R0 - decay rate at time, t=0
Half life of radioactive substance is average time it takes for sample N0 to reduce to N0/2.
t = t1/2
