Hofstra University Radioactive Decay and Plot Questions Procedure Discussion
I’m studying for my Statistics class and don’t understand how to answer this. Can you help me study?
- In radioactive decay from an initially pure parent, the parent’s and daughter’s half-lives are the same, i.e., 𝜏12,𝑃⁄=𝜏12,𝐷⁄=𝜏12⁄.: (20 points) a. What are 𝑁𝐷 and 𝐴𝐷 as a function of time and 𝑁𝑃 and 𝐴𝑃?
- b. What is the general form for 𝑡𝑁,𝑒𝑞 and 𝑡𝐴,𝑒𝑞, the times when the daughter’s population and activity are equel to those of the parent’s?
- c. What is 𝑡𝑚𝑎𝑥, the time when does 𝐴𝐷 reach a maximal?
- d. Plot the populations of parent and daughter as a function of time for a value of 𝜏12⁄ of you choice to demonstrate that 𝑡𝑁,𝑒𝑞 and 𝑡𝐴,𝑒𝑞 and 𝑡𝑚𝑎𝑥 on the plot are the same as you derived in b. and c.