A radioactive sample of decays to Pb through a process for which the half-life is years

PHYSICS · Subjective · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A radioactive sample of

{}^{238}\text{U}

decays to Pb through a process for which the half-life is

4.5 \times 10^9

years. Find the ratio of number of nuclei of Pb to

{}^{238}\text{U}

after a time of

1.5 \times 10^9

years. Given

(2)^{1/3} = 1.26