1) The document discusses the application of calculus in understanding radioactive decay. Integral calculus is used to understand what happens over time by integrating short time intervals. This leads to the radioactive decay law formula. 2) The radioactive decay law shows that the number of radioactive nuclei decreases exponentially over time, controlled by the decay constant. It can be expressed graphically as an exponential curve. 3) The decay constant and half-life are related, as the half-life is the time taken for half the radioactive nuclei to decay. This relationship allows rewriting the radioactive decay law using half-life instead of the decay constant.

1. Application Of Calculus in Radioactive Prepared by : Ng Seng Wei D20091035105 Nor ‘Awaathif Bt Mohd Ghazali Lee D20091035070

3. BEHIND THE SCENE OF RADIOACTIVE

4. 1896 – Antoine Henri Becquerel – discovered by accident – Uranium wrapped in paper stored in dark – emit a penetrating radiation that can produce bright images on a photographic plate. Creates an electric discharge in air. 1898 – Marie Curie – thorium emit radiation – directly proportional to the concentration of the element in the mineral but to the nature of the compound . Radioactivity – unaffected by T, P or other physical and chemical condition

5. In 1903, Becquerel and the Curies together received the Nobel Prize in physics. This award was for their discovery of radioactivity and their other contributions in this area. Marie Curie received a second Nobel Prize in 1911 for the discovery of polonium and radium. She was the first person to win two Nobel Prizes. Did you know that the Curie's had a word named after them? That's right! The curie is a basic unit of measurement for describing radioactivity.

6. APPLICATION OF CALCULUS IN RADIOACTIVE

7. RADIOACTIVE DECAY LAW

9. 2. Secondly, we used calculus relationship of

14. These last two equations express the relationship between the decay constant and the half-life