Calculate the hife life of a radioactive substance if its activity drops to 1/16 th of its intial value in 30 years?
We know that the activity of a radioactive substance at any time, t is given by
Where
A = Activity of radioactive material remaining after time t
A0 = Initial activity of material
λ = Decay constant
Given
Putting these values in (1) we get
Also
Half life of a radioactive substance is given by
Where
A = Activity of radioactive material remaining after time t
A0 = Initial activity of material
λ = Decay constant
Given
Putting these values in (1) we get
Also
Half life of a radioactive substance is given by