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In a sample of rock, the ratio of number...

In a sample of rock, the ratio of number of `""^(206)Pb` to `""^(238)U` nuclei is found to be 0.5. The age of the rock is `(18//n)xx10^(9)(ln((3)/(2)))/(ln2)` year (Assume that all the Pb nuclides in he rock was produced due to the decay of Uranium nuclides and `T_(1//2)(""^(238)U)=4.5xx10^(9)` year). Find n.

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Knowledge Check

  • In moon rock sample the ratio of the number of stable argon-40 atoms present to the number of radioactive potassium-40 atoms is 7:1. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 2.5 xx 10^(9_ yr. The age of the rock is

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  • In the chemical analysis of a rock, the mass ratio of two radioactive isotopes (A and B) is 100:1 and the ratio of their atomic weights is 1.02:1. If tau_(A)=4xx10^(9) year & tau_(B)=2xx10^(9) year and the two isotopes are in equal proportion at formation, the age of the rock is nearly nxx(10)^(10) year where n= _______ (take log_(10)((100)/(1.02))=1.9914 )

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