Atoms And Nuclei Question 359
Question: An archaeologist analyses the wood in a prehistoric structure and finds that $ C^{14} $ (Half-life = 5700 years) to $ C^{12} $ is only one-fourth of that found in the cells of buried plants. The age of the wood is about
Options:
A) 5700 years
B) 2850 years
C) 11,400 years
D) 22,800 years
Show Answer
Answer:
Correct Answer: C
Solution:
- $ \frac{C_{14}}{C_{12}}=\frac{1}{4}={{( \frac{1}{2} )}^{t/5700}} $
$ \Rightarrow \frac{t}{5700}=2\Rightarrow t=11400 $ years
