An archaeologist analyses the wood in a phehistoric structure and finds that `C^14` (Half-life `= 5700` years) to `C^12` only one-fourth of that found in the cells buried plants. The age of the wood is about

Options

A. 5700 yr
B. 2850 yr
C. 11400 yr
D. 22800 yr

Answer

C

Explanation

`(N_(0))/(N)=1/4=((1)/(2))^(t//5700)`
`therefore" "((1)/(2))^(2)=((1)/(2))^(t//5700)`
`therefore" "(t)/(5700)=2`
`therefore` The age of the wood, t = 11400 yr