What is the age of an ancient wooden piece if it is known that the specific activity of `C^(14)` nuclide in it amouts to `3//5` of that in fresh trees? Given: the half of `C` nuclide is `5570 years` and `log_(e)(5//3)=0.5` .

Options

A. `4112` years
B. `2092` years
C. `5570` years
D. `2785` years

Answer

A

Explanation

Activity of ancient wood `=3//5 x` activity of lately felled trees
`rArr A(3)/(5)A_(0)=A_(0)e^(-lambda t)`
Solve for time `t= ?`