A living plant acquires a definite of ^14₆C nuclei in  

carbon content.If a

freshly cut piece of wood gives 16.1 counts per minute per grams

 and an old wooden bowl gives 9.6 counts per minute per grams of

carbon , calculate the age of the wooden bowl.The half-life of ^14₆C is                                                                                                                     5770 years.

ANSWER==4304 years

After n half lives, remaining rate of decomposition is given by

R_n=R_o/2ⁿ

so 9.6=16.1/2ⁿ

This will give u n=0.75

So total age of old wooden bowl = 0.746*5770 years = 4304 yrs