The atomic ratio between the uranium isotopes U 238 and U 234 in a mineral sample is found to be 1.8 × 10 4 . The half-life of U 234 is 2.5 × 10 5 year. What is the half life of U 238 ?
Text Solution
Verified by ExpertsThe correct answer is:
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Sol. The two isotopes are in radioactive equilibrium. Hence activities of the two will be equal.
Thus, 
,
where, 
are decay constant of 
and 
respectively
and 
are number of atoms of 
and 
respectively, we have
where T is half life of 
.
Now, 
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