Compare the half-life of ^{235}U to ^{206}Lead 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)

=T-half

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