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#halflife #radioactivity #physicsclass10th #nationalbookfoundation #class10thphysics Half-life is a fundamental concept in nuclear physics and radiochemistry that describes the time required for half of the nuclei in a sample of a radioactive substance to decay. Here's a detailed overview of the concept: Definition Half-life (T₁/₂): The time it takes for half of the radioactive atoms in a sample to decay into another element or isotope. Characteristics of Half-life Constant Rate: The half-life of a given isotope is constant and does not change over time, regardless of the initial quantity of the substance or external conditions such as temperature and pressure. Exponential Decay: The decay process follows an exponential decay law, meaning that after each half-life period, the remaining amount of the radioactive substance is halved. is the half-life of the substance. 𝑡 t is the elapsed time. Examples of Half-lives Different radioactive isotopes have vastly different half-lives, ranging from fractions of a second to billions of years: Carbon-14 (C-14): About 5,730 years. Used in radiocarbon dating to determine the age of archaeological and geological samples. Uranium-238 (U-238): About 4.5 billion years. Used in dating rocks and the age of the Earth. Iodine-131 (I-131): About 8 days. Used in medical diagnostics and treatment, especially in thyroid conditions. Plutonium-239 (Pu-239): About 24,100 years. Significant in nuclear reactors and nuclear weapons. Applications of Half-life Radiometric Dating: Determining the age of ancient objects and geological formations by measuring the remaining radioactive isotopes and comparing them to their known half-lives. Medical Applications: Using radioisotopes with known half-lives for diagnosis and treatment in nuclear medicine (e.g., PET scans, cancer therapy). Nuclear Power: Managing nuclear reactors by understanding the half-lives of various fuel elements and fission products. Environmental Monitoring: Tracking the spread and decay of radioactive contaminants in the environment. Nuclear Waste Management: Planning the storage and disposal of radioactive waste based on the half-lives of its constituents. #HalfLife #RadioactiveDecay #RadioactiveIsotopes #NuclearPhysics #RadiometricDating #ExponentialDecay #DecayConstant #NuclearDecay #Radiation #Isotope #Carbon14 #Uranium238 #Iodine131 #Plutonium239 #RadiationSafety #NuclearMedicine #Radioisotopes #NuclearPower #NuclearWaste #EnvironmentalMonitoring #GeologicalDating #Archaeology #MedicalImaging #CancerTreatment #NuclearEnergy #RadiocarbonDating #NuclearReactor #RadioactiveContamination #RadiationTherapy #RadiologicalScience