(28) An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 is 5730 years, and the carbon-14 decay rate of living organisms is 15.3 disintegrations per minute per gram, if the archaeologist's claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone? (A) 2.23 (B) 1.40 (C) 4.04 (D) 57.9 (E) 15.3

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### Carbon-14 Dating and Archaeological Finds

#### Question 28
An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 (5,730 years) and the carbon-14 decay rate of living organisms (15.3 disintegrations per minute per gram), if the archaeologist's claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone?

**Answer Choices:**
- (A) 2.23
- (B) 1.40
- (C) 4.04
- (D) 57.9
- (E) 15.3

This problem involves using the principles of radioactive decay to estimate the current decay rate in an ancient bone. The half-life of carbon-14 is the time it takes for half of the carbon-14 in a sample to decay. By comparing the number of disintegrations per minute per gram of the bone to that of living organisms, we can deduce its age and validate the archaeologist's claim.
Transcribed Image Text:### Carbon-14 Dating and Archaeological Finds #### Question 28 An archaeologist claims that a bone in her collection is from a saber-toothed tiger that is believed to have lived 11,000 years ago. Given the half-life of carbon-14 (5,730 years) and the carbon-14 decay rate of living organisms (15.3 disintegrations per minute per gram), if the archaeologist's claim is valid, what will be the decay rate (in disintegrations per minute per gram) of the bone? **Answer Choices:** - (A) 2.23 - (B) 1.40 - (C) 4.04 - (D) 57.9 - (E) 15.3 This problem involves using the principles of radioactive decay to estimate the current decay rate in an ancient bone. The half-life of carbon-14 is the time it takes for half of the carbon-14 in a sample to decay. By comparing the number of disintegrations per minute per gram of the bone to that of living organisms, we can deduce its age and validate the archaeologist's claim.
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