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Solve the following questions:

Question I: A radioactive sample produces 3840 decays per minute at one point in an experiment and 308.09 days later produces 240 decays per minute.

Part a: What is the half time?

Part b: What is the decay constant?

Part c: What is the mean lifetime of the material?

Question II: What fraction of a sample of cobalt-60 is left after 36.8956 yr. ( the half-life of cobalt-60 is 5.2708 yr.)

Question III: What period of time is required for a sample of radioactive oxyden-15 to lose 99.5% of its activity? (The half-life of uranium is 122.24 yr).

Give the detailed explanation of above question.

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