Wooden artifact and freshly cut tree are having 7.6 and 15.2 counts `min^(-1)` `g^(-1)` of carbon `(t^(1//2) = 5700 "years")` respectively. Calculate the age of the artifact.

Explanation

Age of the artifact `(2.303)/(lambda)log[("amount of fresh wood" )/("amount of old wood" )]`
but `t^(1//2)=(0.693)/(lambda)`
`therefore` age of the artifact `=(2.303xxt^(1//2))/(0.693)log[("amount of fresh wood" )/("amount of old wood" )]`
`=(2.303xx5700)/(0.693) log (15.2)/(7.6)`
=5700 years