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Physics · Half-lives and the random nature of radioactive decay

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A GM counter measures a total count rate of 420 counts/s420\text{ counts/s} near a sample. Background radiation count rate is 20 counts/s20\text{ counts/s}. After 18 minutes18\text{ minutes}, the total count rate drops to 70 counts/s70\text{ counts/s}. What is the half-life t1/2t_{1/2} of the sample?

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