Half-Life :
Half-life is the time required for a quantity to reduce to half its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo, or how long stable atoms survive, radioactive decay.The mathematical representation of Half life is given by,
(Half life time) = (Napierian logarithm of 2)/(disintegration constant)
The equation is:
t1/2 = ln(2)/λ
Where:
λ=disintegration constant of the system
t1/2=Half life time
Let value of λ be x and value of t1/2=y
