(a) A sample of a radioactive isotope contains N nuclei at time t. At time (t + At), it contains (N-AN) nuclei of the isotope. For the period At, state, in terms of N, AN and At, (i) the mean activity of the sample, activity = (ii) the probability of decay of a nucleus. probability = [1] [1] (b) A cobalt-60 source having a half-life of 5.27 years is calibrated and found to have an activity of 3.50 x 105 Bq. The uncertainty in the calibration is ±2%. Calculate the length of time, in days, after the calibration has been made, for the stated activity of 3.50 x 105 Bq to have a maximum possible error of 10%.
(a) A sample of a radioactive isotope contains N nuclei at time t. At time (t + At), it contains (N-AN) nuclei of the isotope. For the period At, state, in terms of N, AN and At, (i) the mean activity of the sample, activity = (ii) the probability of decay of a nucleus. probability = [1] [1] (b) A cobalt-60 source having a half-life of 5.27 years is calibrated and found to have an activity of 3.50 x 105 Bq. The uncertainty in the calibration is ±2%. Calculate the length of time, in days, after the calibration has been made, for the stated activity of 3.50 x 105 Bq to have a maximum possible error of 10%.
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![(a) A sample of a radioactive isotope contains N nuclei at time t. At time (t + At), it contains
(N-AN) nuclei of the isotope.
For the period At, state, in terms of N, AN and At,
(i) the mean activity of the sample,
activity =
(ii) the probability of decay of a nucleus.
probability =
[1]
[1]
(b) A cobalt-60 source having a half-life of 5.27 years is calibrated and found to have an
activity of 3.50 x 105 Bq. The uncertainty in the calibration is ±2%.
Calculate the length of time, in days, after the calibration has been made, for the stated
activity of 3.50 x 105 Bq to have a maximum possible error of 10%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3412af01-3229-4dca-828b-6e0d000e0e24%2F0baef06b-704a-4ba0-bf5b-bb0728c4e673%2Fpge4ew_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) A sample of a radioactive isotope contains N nuclei at time t. At time (t + At), it contains
(N-AN) nuclei of the isotope.
For the period At, state, in terms of N, AN and At,
(i) the mean activity of the sample,
activity =
(ii) the probability of decay of a nucleus.
probability =
[1]
[1]
(b) A cobalt-60 source having a half-life of 5.27 years is calibrated and found to have an
activity of 3.50 x 105 Bq. The uncertainty in the calibration is ±2%.
Calculate the length of time, in days, after the calibration has been made, for the stated
activity of 3.50 x 105 Bq to have a maximum possible error of 10%.
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