Nuclear Physics And Radioactivity Question 283

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 buried plants. The age of the wood is about [NCERT 1982]

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 $



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें