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.^(238)U decays with a half-life of 4.5 ...

`.^(238)U` decays with a half-life of `4.5 xx10^(9)` years, the decay series eventaully ending at `.^(206)Pb`, which is stable. `A` rock sample analysis shows that the ratio of the number of atoms of `.^(206)Pb` to `.^(238)U` is 0.0058. Assuming that all the `.^(206)Pb` is prodduced by the decay of `.^(238)U` and that all other half-lives on the chain are negligilbe, the age of the rock sample is `(1n 1.0058 =5.78 xx10^(-3))`.

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The correct Answer is:
`[38 xx 10^(6) yrs]`
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