Suppose that a mineral body formed in an ancient cataclysm, perhaps the formation of the earth itself originally contained the uranium isotope u^238 (which has a halflife of 4.51 x 10^9 years) but no lead, the end product of the radioactive decay of u^238 atoms to lead atoms in the mineral body is 0.9, when did the cataclysm occur?

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under application of diff. equation radioactive decay
Suppose that a mineral body formed in
an ancient cataclysm, perhaps the
formation of the earth itself originally
contained the uranium isotope u^238
(which has a halflife of 4.51 × 10^9
years) but no lead, the end product of the
radioactive decay of u^238 atoms to
lead atoms in the mineral body is 0.9,
when did the cataclysm occur?
Transcribed Image Text:Suppose that a mineral body formed in an ancient cataclysm, perhaps the formation of the earth itself originally contained the uranium isotope u^238 (which has a halflife of 4.51 × 10^9 years) but no lead, the end product of the radioactive decay of u^238 atoms to lead atoms in the mineral body is 0.9, when did the cataclysm occur?
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