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Home » A piece of wood from the ruins of an ancient building was found to have a activity of 12 disintegrations per minute per gram of its carbon content. The activity of the living wood is 16 disintegrations per minute per gram. How long ago did the tree, from which the wooden sample came, die? Given the half-life of is 5760 years.
A piece of wood from the ruins of an ancient building was found to have a \mathrm{C}^{14} activity of 12 disintegrations per minute per gram of its carbon content. The C^{14} activity of the living wood is 16 disintegrations per minute per gram. How long ago did the tree, from which the wooden sample came, die? Given the half-life of \mathrm{C}^{14} is 5760 years.
CBSE | Class 12 | NCERT Exemplar | Nuclei | Physics
A piece of wood from the ruins of an ancient building was found to have a \mathrm{C}^{14} activity of 12 disintegrations per minute per gram of its carbon content. The C^{14} activity of the living wood is 16 disintegrations per minute per gram. How long ago did the tree, from which the wooden sample came, die? Given the half-life of \mathrm{C}^{14} is 5760 years.

\mathrm{C}^{14} activity of a piece of wood from the ruins is given as \mathrm{R}=12 \mathrm{dis} / \mathrm{min} per gram

\mathrm{C}^{14} activity of a living wood is given as =\mathrm{R_o}=16 \mathrm{dis} / \mathrm{min} per gram

Half-life of C^{14} is given as 5760 years

Using radioactive law, we can write,

\begin{array}{l} \mathrm{R}=\mathrm{R_oe}^{-\lambda t} \\ \mathrm{t}=2391.20 \text { year } \end{array}

i

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