Task 3 Radioactive decay is the process of transforming nucleus from unstable state to more stable state. The rate of radioactive decay depends on the specifications of the substance. Depending on that, we can define the half-life as the amount of time needed to convert half of the substance from the unstable radioactive state to the stable state. If you know that the rate of decay for a certain substance is proportional to the amount of the current substance x(t). Formulate a differential equation to express the previous (i) system. (ii) Solve this first order differential equation. If you know that for a certain substance (carboon-14), 5730 years are needed to convert half of the substance, find the value of the proportional constant. (ii)

Task 3 Radioactive decay is the process of transforming nucleus from unstable state to more stable state. The rate of radioactive decay depends on the specifications of the substance. Depending on that, we can define the half-life as the amount of time needed to convert half of the substance from the unstable radioactive state to the stable state. If you know that the rate of decay for a certain substance is proportional to the amount of the current substance x(t). Formulate a differential equation to express the previous (i) system. (ii) Solve this first order differential equation. If you know that for a certain substance (carboon-14), 5730 years are needed to convert half of the substance, find the value of the proportional constant. (ii)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter30: Nuclear Energy And Elementary Particles

Section: Chapter Questions

Problem 12P

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