The half-life for radioactive decay of `.^14C` is 5730 years. An archaeological artifact contented wood that has only 80% of the `.^14C` found in living tree. Estimate the age of the sample.

Explanation

We are given that
`t _(1//2) = 5730` years
Using the relation :
`k = ( 0. 693 )/(t _(1//2)) = ( 0. 693)/( 57300 )= ( 2. 303)/(( 0. 693)/( 5730)) log "" (100)/( 80)`
`= ( 2. 303 xx 15730)/( 0. 693) xx 0. 0 9 69 = 18 45 ` years