Question

What is the age of an ancient wooden piece if it is known that the specific activity of \( C \)-nuclide in it is one-third of that in freshly grown trees? Given that the half-life of \( C \)-nuclide is 5700 years:

• A. 1000 yr
• B. 2000 yr
• C. 3000 yr
• D. 4000 yr

Hint:

The specific activity of a material decreases as it ages, and this can be used to determine its age through radiocarbon dating.

Answer 1

The Correct Option is C

Step 1: Use the half-life concept.
The activity of \( C \)-nuclide is inversely proportional to the age of the object. Since the specific activity is one-third, the age corresponds to approximately 3000 years.
Step 2: Calculation.
Using the half-life and activity ratio, we can determine that the age of the wooden piece is approximately 3000 years.
Final Answer: \[ \boxed{3000 \, \text{yr}} \]