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Wooden article and freshly cut tree show activity of 7.6 and 15.2 $\min^{- 1} {gm}^{- 1}$ of carbon ( $t_{1 / 2} = 5760 years$ respectively. The age of article in years, is:

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$5760 \times (15.2 - 7.6)$

$5760 \times (\frac{15.2}{7.6})$

$5760 \times (\frac{7.6}{15.2})$

5760

answer is A.

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Detailed Solution

We have

$\ln [\frac{15.2}{7.6}] = t \times \frac{\ln 2}{5760}$

The age of article in years, is

$\Rightarrow t = 5760 year' s$

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