What fraction of nuclei remains in a radioactive sample after 4 half-lifes? The

Question

What fraction of nuclei remains in a radioactive sample after 4 half-lifes? The radioactive decay law describes the relationship between the initial number of nuclei N0 and the number of the nuclei remaining after time t N = N0 e-t Describe (quantitatively) the relationship between the half-life and the decay constant: T1/2 = A radioactive sample is 90% decayed after how many half-lifes? Write the radioactive decay law in terms of the half-life T1/2 instead of the decay constant: N/N_0 = ____________

Explanation / Answer

2) Fraction that remains after four half lives is

f = (1/2) ^4

= 1/16 = 0.0625 Answer

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