• # question_answer The age of an organic material is usually deter-mined by measuring its $^{14}C$ content (carbon dating). The ratio of the number of stable iso- tope of $^{14}C$ atoms present to the number of ra-dioactive $^{14}C$atoms in a certain material is found to be $3:1.$ If the half-life of $^{14}C$ atoms is 5730 years, the age of the material under investiga-tions is A) 7944 years B) 17190 years C) 11460 years D) 13972 years

unstable : stable = 1.3 $4n\to n$ 2 half live $t=2{{T}_{\frac{1}{2}}}=2\times 5730=11460\operatorname{yrs}.$