Answer to Question #89211 in Atomic and Nuclear Physics for Sridhar

Question #89211
a piece of wood from an ancient boat was found to show c14 activity of 5 counts per minute an equal amount of wood of recent date give a count rate of 20 counts per minute the half life of c14 is 5568 years the age of the boat
1
Expert's answer
2019-05-08T09:31:52-0400

Solution

"A = A(normal)\/2^n"

where A -- 14C activity, n -- number of half-life periods;

The 14C activity has decreased by 4 times (20/5 = 4);

As 4 = 22, then n=2;


"Age = 2 * 5568 = 11136 (y.)"

Answer

The age of the boat is 11136 years.



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