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""(92)^(238)U by successive radioactive ...

`""_(92)^(238)U` by successive radioactive decay changes to `""_(82)^(206)Pb`. A sample of uranium ore was analysed and found to contain `1.0 gm` of `.^(238)U` and `0.1gm` of `.^(206)Pb`. Assuming that all the `.^(206)Pb` has accumulated due to decay of `.^(238)U`, find the age of the ore (half-life of `.^(238)U=4.5xx10^(9)`years).

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The correct Answer is:
`7.098xx10^(8)` years
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