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Verified Answer :

The answer would be, Carbon 12, and Carbon 14.

Geologists use \(\boxed{{\text{carbon - 12 and carbon - 14}}}\) in radiocarbon dating.


Further Explanation:

Radiocarbon dating is a technique that is used to determine the age of a substance with the help of radioactive carbon isotope. It is also known as carbon dating or carbon-14 dating. This is primarily used in archaeology to determine the age of fossil fuels.


Naturally, carbon exists in two stable nonradioactive forms and these are carbon-12 and carbon-13. It has one unstable radioactive isotope of carbon-14.


Carbon-14 is also known as radiocarbon. It is formed continuously in the lower stratosphere and upper troposphere. When neutrons are made to strike on nitrogen-14 atom, the formation of carbon-14 takes place. The formation reaction of carbon-14 is as follows:

 \(_{\text{7}}^{{\text{14}}}{\text{N}} + {\text{n}} \to _{\text{6}}^{{\text{14}}}{\text{C}} + {\text{p}}\)


Here,

\(_{\text{7}}^{{\text{14}}}{\text{N}}\) is an atom of nitrogen-14.

n is a neutron.

p is a proton.

\(_{\text{6}}^{{\text{14}}}{\text{C}}\) is an atom of carbon-14.


The expression to determine the age of any substance is as follows:

 \({\text{Age}} =  - 8033 \cdot \ln \left( {Fm} \right)\)


Here, Fm is the fraction modern.


The fraction modern (Fm) is defined as the ratio of carbon-14 to that of carbon-12 present in the sample \(\left( {^{{\text{14}}}{\text{C}}{{\text{/}}^{12}}{\text{C}}} \right)\).


Since both carbon-12 and carbon-14 are used in the expression to calculate the age of any substance, both are used in radiocarbon dating.


Learn more:

  1. What nuclide will be produced in the given reaction? https://brainly.com/question/3433940
  2. Calculate the nuclear binding energy: https://brainly.com/question/5822604

Answer details:

Grade: Senior School

Chapter: Nuclear chemistry

Subject: Chemistry


Keywords: radiocarbon dating, carbon dating, carbon-14, age, nitrogen-14, carbon-14 dating, neutron, proton, carbon-12, carbon-13, unstable, stable, radioactive, non-radioactive, radiocarbon, upper troposphere, lower stratosphere, carbon, substance.