ii) The half-life of a radioactive element is 20 days. Calculate the time taken for the number of nuclei to decrease to 40% their initial value.

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ii) The half-life of a radioactive element is 20 days. Calculate the time taken for
the number of nuclei to decrease to 40% their initial value.
iii) Determine the percentage of unstable nuclei remaining after a time / = 3T1/2
has elapsed given that 100% of the nuclei are unstable at time = 0. Hence draw a
fully labelled diagram to show how the activity of a radioactive sample varies with
time.
iv) A radioactive source has an activity of 4.2x107 Bq due to the decay of a
radioisotope with a half-life of 7500 years. Calculate the decay constant and
the number of undecayed nuclei in the source.
Transcribed Image Text:ii) The half-life of a radioactive element is 20 days. Calculate the time taken for the number of nuclei to decrease to 40% their initial value. iii) Determine the percentage of unstable nuclei remaining after a time / = 3T1/2 has elapsed given that 100% of the nuclei are unstable at time = 0. Hence draw a fully labelled diagram to show how the activity of a radioactive sample varies with time. iv) A radioactive source has an activity of 4.2x107 Bq due to the decay of a radioisotope with a half-life of 7500 years. Calculate the decay constant and the number of undecayed nuclei in the source.
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