a).What is half-life?b) Archeologists can determine the age of organic matter by measuring the proportion of carbon-14present in a sample. Assuming that carbon-14 has a half- life of 5600 years, calculate the age of a piece of wood found to contain #1/8# as much carbon-14 as in a living material.
Answer Text: a).Time taken for a given mass or number or activity of nuclides to decay to half its original value.b).#1/8 x = x {1/2}^(t/5600)##0.125 = (0.5)^(t/5600)##Log 0.125 = t/(5600) log 0.5##t/5600 = log0.125/log0.5##t/5600 =3#t = 3 x 5600 =16800 years