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In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.
An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample is
An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample is
- a)557 yr
- b)18500yr
- c)12770 yr
- d)55700 yr
Correct answer is option 'C'. Can you explain this answer?
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Explanation:
To determine the age of ancient wooden tools, radio carbon dating method is used. This method relies on the measurement of the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample. The ratio of 14C to 12C is used to estimate the age of the sample.
Given:
- The old sample contains 1/5 times the fraction of 14C compared to a fresh piece of wood.
- The half-life of 14C is 5500 years.
Calculating the approximate age of the old sample:
1. Let's assume the fraction of 14C in the fresh piece of wood as x.
2. According to the given information, the old sample contains 1/5 times the fraction of 14C as compared to the fresh piece of wood. So, the fraction of 14C in the old sample is (1/5)x.
3. The ratio of the fraction of 14C to 12C in a sample is used to estimate its age. So, we can write the following equation:
(1/5)x / (1-x) = e^(-t/5500)
where e is the base of natural logarithm and t is the age of the old sample.
4. Solving this equation for t, we get:
t = -5500 * ln((1/5)x / (1-x))
5. We need to find the value of x in order to calculate the age of the old sample.
6. Since the old sample contains 1/5 times the fraction of 14C compared to a fresh piece of wood, we can write:
(1/5)x = x - (1/5)x
Solving this equation for x, we get:
(6/5)x = x
x = 5/6
7. Now, substituting the value of x in the equation for t:
t = -5500 * ln((1/5)(5/6) / (1-(5/6)))
t ≈ 12770 years
Therefore, the approximate age of the old sample is 12770 years, which corresponds to option c)
To determine the age of ancient wooden tools, radio carbon dating method is used. This method relies on the measurement of the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample. The ratio of 14C to 12C is used to estimate the age of the sample.
Given:
- The old sample contains 1/5 times the fraction of 14C compared to a fresh piece of wood.
- The half-life of 14C is 5500 years.
Calculating the approximate age of the old sample:
1. Let's assume the fraction of 14C in the fresh piece of wood as x.
2. According to the given information, the old sample contains 1/5 times the fraction of 14C as compared to the fresh piece of wood. So, the fraction of 14C in the old sample is (1/5)x.
3. The ratio of the fraction of 14C to 12C in a sample is used to estimate its age. So, we can write the following equation:
(1/5)x / (1-x) = e^(-t/5500)
where e is the base of natural logarithm and t is the age of the old sample.
4. Solving this equation for t, we get:
t = -5500 * ln((1/5)x / (1-x))
5. We need to find the value of x in order to calculate the age of the old sample.
6. Since the old sample contains 1/5 times the fraction of 14C compared to a fresh piece of wood, we can write:
(1/5)x = x - (1/5)x
Solving this equation for x, we get:
(6/5)x = x
x = 5/6
7. Now, substituting the value of x in the equation for t:
t = -5500 * ln((1/5)(5/6) / (1-(5/6)))
t ≈ 12770 years
Therefore, the approximate age of the old sample is 12770 years, which corresponds to option c)
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In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer?
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In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer?.
In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
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In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample isa)557 yrb)18500yrc)12770 yrd)55700 yrCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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