The ratio of \( \mathrm{C}^{14} \) to \( \mathrm{C}^{12} \) in a li...

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The ratio of \( \mathrm{C}^{14} \) to \( \mathrm{C}^{12} \) in a living matter is measured to be \( \frac{\mathrm{C}^{14}}{\mathrm{C}^{12}}=1.3 \times 10^{-12} \) at the present time.
\( \mathrm{P} \) Activity of \( 12.0 \mathrm{gm} \) carbon sample is \( 180 \mathrm{dpm} \). Then calculate half life of \( \mathrm{C}^{14} \) :

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[Given : \( N_{A}=6 \times 10^{23} \) ]
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