Question

A piece of wood is found to have the $\frac{c^{14}}{c^{12}}$ ratio to be $0.5$ times of that in a living plant. The number of years back the plant died will be ($T_{\frac{1}{2}}$ of C${}^{14}$= 5,580 years)

• A. $2,790years$
• B. $5,580years$
• C. $11,160years$
• D. $27,900years$

Answer 1

The correct option is B $5,580years$

Let Ratio of $\frac{C_{14}}{C_{12}}$ in living plants be 1.
So, Ratio in the wood $=0.5$
So, $\frac{1}{2}of{C}_{14}$ has decomposed to $N^{14}$
Thus, the time taken must be equal to 1 half life.
i.e., $5580$ years