The `beta-` activity of a sample of `CO_(2)` prepared form a contemporary wood gave a count rate of `25.5` counts per minute `(cp m)`. The same of `CO_(2)` form an ancient wooden statue gave a count rate of `20.5 cp m`, in the same counter condition. Calculate its age to the nearest 50 year taking `t_(1//2)` for `.^(14)C` as 5770 year. What would be the expected count rate of an identical mass of `CO_(2)` form a sample which is 4000 year old?

Options

A. 1822 years
B. 182 years
C. 822 years
D. 18220 years

Answer

A