In a radioactive decay,a uranium atom transforms into a lead atom. If a rock sample from the moon contains an equal number of uranium and lead atoms,and the half-life $(t_{1/2})$ for uranium is $4.5 \times 10^9$ years,then the age of the rock will be:
- A$2.25 \times 10^9$ years
- B$13.5 \times 10^9$ years
- C$4.5 \times 10^9$ years
- D$9.0 \times 10^9$ years
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