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 yrs
B. `5760 ((15.6)/(7.8))` yrs
C. `5760xx7.8//15.6` yrs
D. `5760xx(15.6 -7.8)` yrs

Answer

A

Explanation

`lambda=(0.693)/(5760)"year"^(-1)`
`=1.2xx10^(-4) "year^(-1)`
`t=(2.303)/(lambda)"log"(N)/(N_(0))`
`t=(2.303)/(lambda)"log"(15.6)/(7.8)=5760` years