Answer the following questions:
Question I. A radioactive sample produces 46035 decays per minute at one point in an experiment and 308.09 days later produces 837 decays per minute.
Part i. What is the half time?
Part ii. What is the decay constant?
Part iii. What is the mean lifetime of the material?
Question II. What fraction of a sample of carbon-14 is left after 21487.5 yr. (the half-life of carbon-12 is 5730 yr.)
Question III. What period of time is required for a sample of radioactive uranium-235 to lose 99.280% of its activity? (The half-life of uranium is 7.038*10 yr).
Explain the each step.