Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 33 - Think and Solve: 36

Answer

23,000 years.

Work Step by Step

After one half-life, we are down to one-half the original amount. After two half-lives, we are down to one-quarter the original amount. After three half-lives, we are down to one-eighth the original amount. After four half-lives, we are down to one-sixteenth the original amount. The intensity decreased by a factor of 16.7 (from 100 percent to 6 percent). This is a little over 4 half-life periods. So the wood is a little over (4)(5730 years) old, roughly 23,000 years.
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