Carbon `-14` decays with half-life of about `5, 800` years. In a sample of bone, the ratio of carbon `-14` to carbon `-12` is found to be `(1)/(4)` of what it is in free air. This bone may belong to a period about `x` centuries ago. Where `x` nearest to

Options

A. `2 xx 58`
B. 58
C. `58//2`
D. `3 xx 58`

Answer

A

Explanation

(a) To becomes `(1)/(4) th`, it requires time of two half lives
i.e., `t = 2(T_(1//2)) = 2 xx 5800 = 2 xx 58` Centuries.