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If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years?
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If an archaeologist found the percentage of c14 in the remains of an a...
Understanding Carbon-14 Dating
Carbon-14 (C-14) is a radioactive isotope used in dating organic materials. When an organism dies, it stops taking in C-14, and the existing C-14 in its body begins to decay at a known rate.
Half-Life of C-14
- The half-life of C-14 is approximately 5730 years.
- This means that after 5730 years, half of the original C-14 in a sample will have decayed.
Current C-14 Percentage
- If the archaeologist found that the C-14 level in the remains is 10% of the original amount, this indicates significant time has passed since the organism's death.
- To calculate the time elapsed, we determine how many half-lives have occurred to reduce the C-14 level from 100% to 10%.
Calculating the Number of Half-Lives
- 100% to 50% (1 half-life) = 5730 years
- 50% to 25% (2 half-lives) = 5730 years
- 25% to 12.5% (3 half-lives) = 5730 years
- Since the remaining percentage is 10%, it falls between 12.5% and 6.25%, indicating that a little more than 3 half-lives have passed.
Estimating the Age of the Sample
- Each half-life is 5730 years, so three complete half-lives account for 17190 years (5730 years x 3).
- The additional time to reach 10% suggests the sample is slightly older than 17190 years.
Conclusion
- The age of the sample is estimated to be over 17190 years, as it reflects the decay of C-14 to 10% of the original amount present at the time of death.
Carbon-14 (C-14) is a radioactive isotope used in dating organic materials. When an organism dies, it stops taking in C-14, and the existing C-14 in its body begins to decay at a known rate.
Half-Life of C-14
- The half-life of C-14 is approximately 5730 years.
- This means that after 5730 years, half of the original C-14 in a sample will have decayed.
Current C-14 Percentage
- If the archaeologist found that the C-14 level in the remains is 10% of the original amount, this indicates significant time has passed since the organism's death.
- To calculate the time elapsed, we determine how many half-lives have occurred to reduce the C-14 level from 100% to 10%.
Calculating the Number of Half-Lives
- 100% to 50% (1 half-life) = 5730 years
- 50% to 25% (2 half-lives) = 5730 years
- 25% to 12.5% (3 half-lives) = 5730 years
- Since the remaining percentage is 10%, it falls between 12.5% and 6.25%, indicating that a little more than 3 half-lives have passed.
Estimating the Age of the Sample
- Each half-life is 5730 years, so three complete half-lives account for 17190 years (5730 years x 3).
- The additional time to reach 10% suggests the sample is slightly older than 17190 years.
Conclusion
- The age of the sample is estimated to be over 17190 years, as it reflects the decay of C-14 to 10% of the original amount present at the time of death.
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If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years?.
If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an archaeologist found the percentage of c14 in the remains of an animal was 10% of what C 14 was in animals body when the animal died the age of sample is he half of c14 is 5730 years?.
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