Compare the half-life of 235U
to 206Lead to the age at 50-50 parent-daughter. What
is the relationship?
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t = - (T-half/0.69314) ln(N/No)
Where t = age
N/No = ratio of no. of present parent atoms to original
T-half = half life of decay
Here when parent-daughter ratio is 50-50
(N/No)= 50/100 =1/2
ln (N/No)= ln (1/2) = -ln 2
= - 0.69314
So the relationship becomes
= - (T-half/0.69314)(- 0.69314)
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