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The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103 yr. [C14 Half-life of yrs.] [answer upto one decimal place]
Correct answer is between '4.0,4.4'. Can you explain this answer?
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To determine the age of the Harappa civilization, we can use the concept of half-life. The half-life of carbon-14 is approximately 5730 years.
If the decay rate of the carbon sample from the site today is 9 decays per gram, and the decay rate at the time of the Harappa civilization was 15 decays per gram, we can calculate the number of half-lives that have passed.
9 decays per gram is 60% (9/15) of the decay rate at the time of the Harappa civilization. This means that the sample has gone through approximately 60% of its half-life.
Using the formula for calculating half-lives:
(1/2)^n = 0.6
Where n is the number of half-lives that have passed.
Solving for n:
n = log base (1/2) of 0.6
Using a calculator, we find that n is approximately 0.736
Since each half-life of carbon-14 is approximately 5730 years, we can multiply this by the number of half-lives to get the age of the Harappa civilization.
Age = 0.736 * 5730 years
Age ≈ 4217.28 years
Therefore, the age of the Harappa civilization can be said to be approximately 4217.28 years.
If the decay rate of the carbon sample from the site today is 9 decays per gram, and the decay rate at the time of the Harappa civilization was 15 decays per gram, we can calculate the number of half-lives that have passed.
9 decays per gram is 60% (9/15) of the decay rate at the time of the Harappa civilization. This means that the sample has gone through approximately 60% of its half-life.
Using the formula for calculating half-lives:
(1/2)^n = 0.6
Where n is the number of half-lives that have passed.
Solving for n:
n = log base (1/2) of 0.6
Using a calculator, we find that n is approximately 0.736
Since each half-life of carbon-14 is approximately 5730 years, we can multiply this by the number of half-lives to get the age of the Harappa civilization.
Age = 0.736 * 5730 years
Age ≈ 4217.28 years
Therefore, the age of the Harappa civilization can be said to be approximately 4217.28 years.
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The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer?
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The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer?.
The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decay rate of at the time of Harappa civilization was 15 decays per gram of carbon sample. If a sample from the site today shows a decay rate of 9 decays per gram, the age of the Harappa civilization can be said to be ______ × 103yr. [C14Half-life of yrs.] [answer upto one decimal place]Correct answer is between '4.0,4.4'. Can you explain this answer?.
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