[UPSC IFoS 2019] Nuclear Physics (Q71, 10M)

Calculate the decay rate of ^{14}\text{C} per gram of carbon in a living organism, assuming the ratio ^{14}\text{C} / ^{12}\text{C} = 1\cdot 35 \times 10^{-12}. The half-life of ^{14}\text{C} is 5730 years.