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. 22,800 years
B. 11,400 years
C. 5700 years
D. 2850 years

Answer

B

Explanation

Given : `(C_14)/(C_12) = 1/4 = (1/2)^(t//T) = (1/2)^(t//5700)`
`therefore (1/2)^2 = (1/2)^(t//5700)`
`therefore (t)/(5700) = 2 therefore t = 5700xx2 = 11,400`years