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Question: Two students are asked to measure the rate of emission of alpha particles from a certain radioactive sample. Student A watches for 2 minutes and counts 32 particles. Student B watches for 1 hour and counts 786 particles. (The sample de-cays slowly enough that the expected rate of emission can be assumed to be constant during the measurements.)
(a) What is the uncertainty in Student As result, 32, for the number of particles emitted in 2 minutes?
(b) What is the uncertainty in Student B's result, 786, for the number of particles emitted in 1 hour?
(c) Each student now divides his count by his number of minutes to find the rate of emission in particles per minute. Assuming the times, 2 min and 60 min, have negligible uncertainty, what are the two students; answers for the rate, with their uncertainties? Comment.
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