A radioisotope has a decay constant of

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

Problem

A radioisotope has a decay constant of 0.035 day−10.035\,\text{day}^{-1}. If it initially contains 8.0×10208.0\times10^{20} undecayed nuclei, how many nuclei remain after 20 days20\,\text{days}? (a) 8.0×10208.0\times10^{20} (b) 1.6×10201.6\times10^{20} (c) 4.0×10204.0\times10^{20} (d) 2.5×10202.5\times10^{20}

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