Question

An archeologist analyses a wooden sample of prehistorical structure and finds that the ratio of $C^{14}$ to ordinary carbon in its only one fourth of that in the calls of living plants. If the half life of $C^{14}$ is $5700$ years, then the age of the wood will be

• A. $22,800$ years
• B. $5700$ years
• C. $2450$ years
• D. $11,400$ years

Answer 1

The correct option is D $11,400$ years

As undecayed ratio of $C^{14}$ in wooden sample is $0.25\times$As undecayed ratio of $C^{14}$ in living plant.

So, number of half life completed is ${\log }_{2}1/0.25=2$

So age of the wood is $2\times 5700=11400years$