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Radioactive Decay Law, Half Life & Decay Constant Video Lecture | Modern Physics for IIT JAM
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FAQs on Radioactive Decay Law, Half Life & Decay Constant Video Lecture - Modern Physics for IIT JAM
| 1. What is the radioactive decay law? |  |
Ans. The radioactive decay law states that the rate of decay of a radioactive substance is directly proportional to the amount of substance present. Mathematically, it can be expressed as N = N0 * e^(-λt), where N is the remaining amount of substance at time t, N0 is the initial amount of substance, λ is the decay constant, and e is the base of natural logarithms.
| 2. What is half-life in radioactive decay? | |
Ans. Half-life in radioactive decay is the time it takes for half of the radioactive substance to decay. It is a characteristic property of each radioactive isotope and can be used to determine the rate of decay. The formula for calculating the half-life is given by t(1/2) = ln(2)/λ, where t(1/2) is the half-life and λ is the decay constant.
| 3. How does the decay constant relate to the half-life? | |
Ans. The decay constant (λ) and the half-life (t(1/2)) are related by the equation λ = ln(2)/t(1/2). The decay constant represents the probability of decay per unit time, while the half-life represents the time it takes for half of the radioactive substance to decay. The smaller the decay constant, the longer the half-life.
| 4. Can the decay constant change over time? | |
Ans. No, the decay constant is a constant value for a specific radioactive isotope and does not change over time. It is a characteristic property of the isotope and remains constant regardless of the amount of substance present or the age of the sample.
| 5. How is the radioactive decay law used in practical applications? | |
Ans. The radioactive decay law is used in various practical applications such as radiometric dating, nuclear medicine, and radiation therapy. By measuring the amount of a radioactive isotope present in a sample and knowing its decay constant, scientists can determine the age of objects, diagnose medical conditions, and treat certain diseases like cancer.
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Dec 28, 2024 Last updated |
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