1.

In a sample of rock, the ratio of \[^{206}Pb\] to \[^{238}U\] nuclei is found to be 0.5. The age in year of the rock is (given half-life of \[\,{{U}^{238}}\] is \[4.5\times {{10}^{9}}\] years)

A. \[2.25\times {{10}^{9}}\]
B. \[4.5\times {{10}^{9}}l\,\,n3\]
C. \[4.5\times {{10}^{9}}\frac{ln\left( \frac{3}{2} \right)}{ln2}\]
D. \[2.25\times {{10}^{9}}ln\left( \frac{3}{2} \right)\]
Answer» D. \[2.25\times {{10}^{9}}ln\left( \frac{3}{2} \right)\]


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