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Suppose that you measure the intensity of radiation from

Chapter 35, Problem 36TAS

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QUESTION:

Suppose you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 6% of what it would be in a freshly cut piece of wood. Show that this artifact is 23,000 years old.

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QUESTION:

Suppose you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 6% of what it would be in a freshly cut piece of wood. Show that this artifact is 23,000 years old.

ANSWER:

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In every half cycle, the carbon -14 intensity of radiation will be half of its previous one. Therefore, the carbon -14 radiation intensity will remain 50 percent for the first half cycle, 25 percent for the second half cycle,  percent for the third half cycle, and  percent for the fourth half cycle. So, when the intensity of the radiation is , there are approximately 4 half cycles of carbon .

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