An old wooden tool is found with 11.9 percent of ¹C when compared to a fresh wood Estimate the age of the old tool.

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An old wooden tool is found with 11.9 percent of ¹4℃ when compared to a fresh wood.
Estimate the age of the old tool.
Transcribed Image Text:An old wooden tool is found with 11.9 percent of ¹4℃ when compared to a fresh wood. Estimate the age of the old tool.
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Concept and Principle:
  • When the number of neutrons and protons do not match in a nucleus some of the atomic nuclei will become unstable. To attain stability they will remove the excess nucleons through radiation. This process is called radioactive decay.

 

  • Radioactive decay is exponential in nature and can be written as,

N=N0e0.693(tt12)

Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.

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