The carbon dating is based on

Options

A. `._(6)^(15)C`
B. `._(6)^(14)C`
C. `._(6)^(13)C`
D. `._(6)^(11)C`

Answer

**Step-by-Step Solution:**

1. **Understanding Carbon Dating**: Carbon dating, also known as radiocarbon dating, is a method used to determine the age of an object containing organic material by measuring the amount of carbon-14 it contains.

2. **Carbon Isotopes**: There are different isotopes of carbon, primarily carbon-12 (¹²C) and carbon-14 (¹⁴C). Carbon-12 is stable and abundant, while carbon-14 is radioactive and is produced in the atmosphere.

3. **Ratio in Living Organisms**: In living organisms, there is a constant ratio of carbon-14 to carbon-12 due to the intake of carbon from the environment (through respiration and food).

4. **Decay of Carbon-14**: When an organism dies, it stops taking in carbon, and the carbon-14 it contains begins to decay at a known rate (its half-life is about 5730 years). This means that the amount of carbon-14 decreases over time.

5. **Comparison of Ratios**: By comparing the ratio of carbon-14 to carbon-12 in a sample from a living organism to that in a deceased organism, scientists can estimate the time that has elapsed since the organism died.

6. **Conclusion**: Therefore, carbon dating is fundamentally based on the measurement of carbon-14 and its decay over time, allowing for the dating of once-living materials.

**Final Answer**: Carbon dating is based on the ratio of carbon-14 to carbon-12.

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