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Question

The number of U238 nuclei in a rock sample is equal to the number of Pb206 atoms. The half-life of U238 is 4.5 x 109 years.The age of the rock is

A
4.5 x109y
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B
9x109y
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C
13.5x109y
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D
18x109y
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Solution

The correct option is A 4.5 x109y
As, U238 disintegrates to form Pb206 atoms, the ratio of U238:Pb206 is 1:1, i.e., 1 half life has been over as half of U238 has decayed to form same amount of Pb206.

Thus the age of rock is 1 half life i.e., 4.5×109years

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