A piece of bone of an animal from a ruin is found to have 14c activity of 12 disintegration per minute per gm of its carbon content. The 14c activity of a living animal is 16 disintegrations per minute per gm. How long ago nearly did the animal die? (given half life of 14c is t1/2=5760 years)
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12/16 = (1/2)^(t/5760
log(3/4) = -(t/5760)(log2)
log3-2log2 = (t/5760)log2
t=2390.61 which is nearly equal to 2391 years
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