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The half - life of Uranium - 238 is about 4.5 billion years, and its end product is lead - 206. We notice that the oldest Uranium - bearing rocks on Earth contain about a 50 : 50 mixture of ²³⁸U and ²⁰⁶Pb. What is the age of these rocks?

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$4.5 \times 10^{4.5} yrs$

$4.5 \times 10^{9} yrs$

$2.25 \times 10^{9} yrs$

$9 \times 10^{9} yrs$

answer is B.

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Detailed Solution

$T_{1 / 2} = 4.5 \times 10^{9} yrs$

$only 50% remained now.$

$Hence, age of rock = 4.5 \times 10^{9} yrs$

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