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carbon dating relies upon the presence of carbon14 an isotope of carbon to understand an isotope you need to know a little about the structure of atoms atoms of course are made of three.
The element carbon is an essential element in all living matter carbon14 is produced constantly as our atmosphere is bombarded by cosmic rays it is incorporated into the carbon cycle so that all living things including you contain radioactive carbon14 living things have about 15 disintegrations per minute per gram of carbon.
Plants absorb carbon atoms during photosynthesis mostly regular c12 and little radioactive c14 with a limited amount of radiocarbon to go around more plants would mean less radiocarbon per plant coventional dating assumes the volume of plants and animals in the world has remained relatively stable.
By counting how many carbon14 atoms in any object with carbon in it we can work out how old the object is or how long ago it died so we only have to know two things the halflife of carbon14 and how many carbon14 atoms the object had before it died the halflife of carbon14 is 5730 years.