A detector records disintegrations from a radioactive sample during the first and…

PHYSICS · Single correct · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A detector records 640640 disintegrations from a radioactive sample during the first 10 min10\,\text{min} and 512512 disintegrations during the next 10 min10\,\text{min}. Assuming no material is added or removed, the half-life of the isotope is approximately (a) 25 min25\,\text{min} (b) 31 min31\,\text{min} (c) 34.6 min34.6\,\text{min} (d) 15.5 min15.5\,\text{min}

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