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Characol pieces of tree is found from an archeological site. The carbon - 14 content of this characol is only 17.5% that of equivalent sample of carbon from a living tree. What is the age of tree? |
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Answer» SOLUTION :According to radioactive law `R = R_0e^(-lambdat)` `e^(lambdat) = R_0/R` Taking LOG on both sides `t= 1/lambda In(R_0/R)` HALF LIFE of CARBON, `T_(1//2) = 5730` years `t = (T_(1//2))/(0.6931) In (1/(0.175))` `=(5.730" years")/(0.6931) xx 1.74297` `= 14409.49` years `t = 1.44 xx 10^4` years `R_0 = 100%` `R = 17.5%` `lambda = (0.6931)/(T_1//2)` `T_(1//2) = 5730` years |
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