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Q.

The half –life of a radioactive isotopes X is 20 years. It decays to another element Y which is stable .The two elements X and Y were found to be in the ratio 1:7 in a sample of a given rock. The age of the rock is estimated to be in years is

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answer is 60.

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Detailed Solution

Nx=N...(1)Ny=N0N..(2)Let  as Nx+Ny=N0(3) But N=N0eλt..(4)

Solving above t=3ln2λ=60 year 

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