Given: R1=5μci,R2=10μci,N1=2N2
By, λN=R
0.693TN=R
T=0.693NR
For sample S1:
T1=0.693N15
T1=0.693×2N25 ......................eq1,
For sample S2:
T2=0.693N210 ....................eq2,
By dividing eq1 by eq2, we get:
T1T2=41
It is clear that the ratio of half lives of the two samples is 4:1, therefore half lives can be 20 (4k) years and 5 (1k) years respectively.