Wooden article and freshly cut tree show activity 7.6 and 15.2 `min""^(-1)g""^(-1)` of carbon (`t""_(1//2)=5760`year) respectively. The age of the article is a)5760 year b)`5760xx15.2/7.6year` c)`5760xx7.6/15.2year` d)`5760xx15.2-7.6year`

Options

A. 5760 years
B. `5760 xx (15.2)/(7.6)`
C. `5760 xx (7.6)/(15.2)` year
D. `5760 xx (15.2 - 7.6)` year

Answer

a

Explanation

`t = (2.303)/(lambda) log (15.2)/(7.6)` or ` t = (2.303 xx 5760)/(0.693) ` log 2