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The ratio of the abundance of carbon-14 to carbon-12 in asample of dead wood is

ID: 1756375 • Letter: T

Question

The ratio of the abundance of carbon-14 to carbon-12 in asample of dead wood is one quarter the ratio for living wood. Ifthe half-life of carbon-14 is 5730 years, which one of thefollowing expressions determines how many years ago the wooddied?

a. 0.75 × 5730
b. 2 × 5730
c. 0.50 × 5730
d. 0.25 × 5730
e. 4 × 5730 The ratio of the abundance of carbon-14 to carbon-12 in asample of dead wood is one quarter the ratio for living wood. Ifthe half-life of carbon-14 is 5730 years, which one of thefollowing expressions determines how many years ago the wooddied? 0.75 × 5730 2 × 5730 0.50 × 5730 0.25 × 5730 4 × 5730

Explanation / Answer

time taken to half decay t = 5730 years time taken to quater decay = 2t                                         =2 * 5730 years So, option ( b ) is correct
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