The radioactivity due to `C-14` isotope (half-life = 6000 years) of a sample of wood form an ancient tomb was found to be nearly half that of fresh wood. The bomb is there for about how many years old? a)3000 b)6000 c)9000 d)12000

Options

A. 3000 years old
B. 6000 years old
C. 9000 years old
D. 1200 years old

Answer

B

Explanation

`N = N_(0) xx ((1)/(2))^(n)`
`(1)/(2) = 1 xx ((1)/(2))^(n) , n = 1`
`t = n xxt_(1//2) = 1 xx 6000 = 6000` yrs