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 years
B. 2850 years
C. 11,400 years
D. 22,800 years

Answer

C

Explanation

`(C_(14))/(C_(12))= (1)/(4) = ((1)/(2))^((t)/(T_(1//2)))`
`rArr (t)/(5700) =2 rArr t= 11400` years