Which radioactive isotope has a half - life of 5770 years, which is commonly used to estimate the age of organic materials such as paper and parchment?
Understanding Radioactive Dating and Half-Life
Radioactive dating is a technique used to determine the age of materials by analyzing the decay of radioactive isotopes present within them. Different radioactive isotopes decay at different rates, characterized by their half-life. The half-life is the time it takes for half of the radioactive atoms in a sample to decay.
The question asks about a specific radioactive isotope with a half-life of 5770 years, used for dating organic materials like paper and parchment. This points directly to a well-known dating method.
Identifying the Isotope for Dating Organic Materials
Organic materials, which come from living organisms (plants, animals), incorporate carbon from the atmosphere during their lifetime. Carbon exists in different isotopic forms, primarily non-radioactive 12C and 13C, and a small amount of radioactive 14C.
While an organism is alive, it constantly exchanges carbon with its environment, maintaining a relatively constant ratio of 14C to 12C. Once the organism dies, this exchange stops, and the radioactive 14C begins to decay without being replenished.
Carbon-14 Dating Explained
The decay of 14C follows a specific rate, defined by its half-life. By measuring the remaining amount of 14C relative to the stable 12C in a sample of organic material (like wood, bone, textile, paper, or parchment), scientists can estimate the time elapsed since the organism died. This method is known as radiocarbon dating or carbon dating.
The commonly accepted half-life of 14C is approximately 5730 years, though 5770 years is sometimes used in older contexts or specific calculations, aligning with the value given in the question.
Analyzing the Options
Let's look at the given options:
- <div><sup>9</sup>C</div>: Carbon-9 (9C) is a highly unstable isotope with a very short half-life (around 126 milliseconds). It is not found naturally and is not used for dating.
- <div><sup>17</sup>C</div>: Carbon-17 (17C) is also a very unstable, neutron-rich isotope with a short half-life (around 102 milliseconds). It is not used for dating.
- <div><sup>14</sup>C</div>: Carbon-14 (14C) is a radioactive isotope with a half-life of approximately 5730 years (or 5770 years as stated in the question). This half-life makes it suitable for dating organic materials up to about 50,000 years old. It is the basis of radiocarbon dating.
- <div><sup>12</sup>C</div>: Carbon-12 (12C) is the most common and stable isotope of carbon. It is not radioactive and does not decay, so its presence alone cannot be used for dating based on radioactive decay. It serves as a reference isotope in radiocarbon dating, as the ratio of 14C to 12C is measured.
Based on the half-life provided (5770 years) and its application to dating organic materials, the isotope in question is clearly Carbon-14.
| Isotope | Nature | Typical Half-Life | Use in Dating |
|---|---|---|---|
| <sup>9</sup>C | Radioactive (unstable) | ~126 ms | No |
| <sup>17</sup>C | Radioactive (unstable) | ~102 ms | No |
| <sup>14</sup>C | Radioactive (decaying) | ~5730 years (or 5770) | Yes (Radiocarbon Dating) |
| <sup>12</sup>C | Stable | Infinite | Reference (not used for decay dating) |
Therefore, the radioactive isotope with a half-life of 5770 years used for estimating the age of organic materials like paper and parchment is 14C.
Revision Table: Key Radiocarbon Dating Facts
| Concept | Description |
|---|---|
| Isotope Used | Carbon-14 (<sup>14</sup>C) |
| Material Dated | Organic materials (wood, bone, textile, paper, parchment, charcoal) |
| Half-Life of <sup>14</sup>C | Approximately 5730 years (sometimes cited as 5770 years) |
| Dating Range | Typically up to 50,000 years before present |
| Principle | Measures remaining <sup>14</sup>C relative to stable <sup>12</sup>C after death |
Additional Information: Applications of Radiocarbon Dating
Radiocarbon dating, using the decay of Carbon-14, is a crucial tool in various fields:
- Archaeology: Dating artifacts and sites to understand past human activities and timelines.
- Paleontology: Dating fossils of organisms that lived within the last 50,000 years.
- Geology: Dating organic matter found in geological layers to study past environmental changes.
- Oceanography: Dating marine organisms and sediments.
- Paleoclimatology: Dating organic material in ice cores or sediment cores to reconstruct past climates.
- Art History and Conservation: Dating ancient texts (like the Dead Sea Scrolls), manuscripts, and organic components in artworks to verify authenticity or understand history. Paper and parchment, being made from plant fibers or animal skins, are prime candidates for 14C dating.
The method relies on the assumption that the atmospheric concentration of 14C has been relatively constant over time, or that variations can be accounted for using calibration curves derived from samples of known age (like tree rings).
Important Questions from Radioactivity
Radioactivity is measured by
- Which of the following types of radiation exhibits the highest ionization power when interacting with biological tissue?
If N 0 is the original mass of the substance of half life \(t_{\frac{1}{2}}=4\) years, then the amount of substance left after 12 years is :
Cobalt therapy is the medical use of ____________ rays from the radioisotope cobalt60 to treat conditions such as cancer.
India has the world's largest reserves of which of the following radioactive metals?
