The radionuclide 56Mn is being produced in a cyclotron at a constant rate P by bombarding a manganese target with deutrons. 56Mn has a half life of 2.5 hours and the target contains large number of only the stable manganese isotope 55Mn. The reaction that produces 56Mn is:
55Mn+d→56Mn+P
After being bombarded for a long time, the activity of 56Mn becomes constant equal to 13.86×10s−1. (Use ln2 = 0.693; Avogadro number = 6×1023 atomic weight of 56Mn = 56gm/mole)
Q. After a long time bombardment, number of 56Mn nuclei present in the target depends upon
(a) The number of 56Mn nuclei present at the start of the process
(b) Half life of the 56Mn
(c) The constant rate of production P
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