The radioactivity isotope X with a half-life of 10 9 year decays to Y which is stable. A sample of rocks was found to contain both the elements X and Y in the ratio 1 : 7 . If initially the no. of nuclei of Y were zero then the age of rock is

Question

The radioactivity isotope X with a half-life of 10 9 year decays to Y which is stable. A sample of rocks was found to contain both the elements X and Y in the ratio 1 : 7 . If initially the no. of nuclei of Y were zero then the age of rock is, 2 × 10 9 y r, 3 × 10 9 y r, 6 × 10 9 y r, 7 × 1 9 y r

MARKS App · Accepted Answer

In radioactive decay N = N o 2 n N N 0 = 1 1 + 7 = 1 8 N N 0 = 1 2 n = 1 8 ∴ n = 3 t = n T = 3 × 10 9 y r

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