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A radio isotope X with a half life 1.4 x...

A radio isotope X with a half life 1.4 x 109 years decays to Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1: 7. The age of the rock is [AIPMT-2014] (1) 1.96 * 100 years (2) 3.92 * 10 years (3) 4.20 109 years (4) 8.40 * 10 years

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