13.8 The normal activity of living carbon-containing matter is found to be about 15 decays per minute for every gram of carbon. This activity arises from the small proportion of radioactive \({ }_{6}^{14} \mathrm{C}\) present with the stable carbon isotope \({ }_{6}^{12} \mathrm{C}\). When the organism is dead, its interaction with the atmosphere (which maintains the above equilibrium activity) ceases and its activity begins to drop. From the known half-life (5730 years) of \({ }_{6}^{14} \mathrm{C}\), and the measured activity, the age of the specimen can be approximately estimated. This is the principle of \({ }_{6}^{14} \mathrm{C}\) dating used in archaeology. Suppose a specimen from Mohenjodaro gives an activity of 9 decays per minute per gram of carbon. Estimate the approximate age of the Indus-Valley civilisation.