Answer :

I think b nine half-lives..........

Answer;

Carbon-14 levels in a sample are undetectable after approximately 9 half lives

Explanation;

  • The half life of Carbon-14 is 5,730 years . Half life is the time taken by a radioactive material to decay by half of its original mass.  Therefore, it  would take a time of 5730 years for a sample of 100 g of carbon-14 to decay to 50 grams
  • A period of 50,000 years, is equivalent to;

 50,000÷5,730

= 8.73 half lives

Which is approximately equal to 9 half lives.

  • Therefore, if the age of an object older than 50,000 years cannot be determined by radiocarbon dating, then Carbon-14 levels in a sample are undetectable after approximately 9 half lives.