Carbon 14 is used to determine the age of organic material. The procedure is based on the formationof .^(14)C by neutroncapture in the upper atmosphere. ._(7)^(14)N + ._(0)^(1)n rarr ._(6)^(14)C + ._(1)p^(1) .^(14)C is absorbed by living organisms duringphotosynthesis. The .^(14)Ccontent is constant in living organismsonce theplant or animal dies, the uptake of carbon dioxide by it ceases and the level of .^(14)C in the deadbeing, falls due to thedecay which.^(14)C undergoes. ._(6)^(14)C rarr ._(7)^(14)N+ beta^(-) The half-life period of .^(14)C is 5730 years. The decay constant (lambda) can be calculated by usingthe following formula lambda = (0.693)/(t_(1//2)) The comparison of the beta^(-)activity of the dead matterwiththat of the carbon still incirculation enables measurement of the period of the isolation the material form the livingcycle. Themethod however, ceases to be accurate ever periodslonger than 30,000 years. The proportion of .^(14)C to .^(12)C living matter is 1:10^(12). Which fo the following option is correct?