A student estimates the number of disintegrations in a interval by multiplying the…

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

Problem

A student estimates the number of disintegrations in a 30 min30\,\text{min} interval by multiplying the initial activity by the time. The actual initial activity is 2.0×104 s−12.0\times10^{4}\,\text{s}^{-1} and the decay constant is 5.0×10−4 s−15.0\times10^{-4}\,\text{s}^{-1}. What is the percentage error in the student’s estimate? (a) 35%35\% (b) 59%59\% (c) 52%52\% (d) 42%42\%

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