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- 1) If the activity of a purely radioactive sample of 55Fe is measured to be 0.5 mCi. What is the number of nuclei of this isotope present after 5.4 years. 2) 226Ra (t₁/2 = 1600 y) alpha decays to the 1st excited state of nucleus X with branching ratio 6% and alpha decays to the ground state of X with branching ratio 94%. Calculate the partial half-life for the first mode transition (the one to the first excited state of X). 3) Fill the missing and decide the type of decay in the following decays: a) Co* → [ ] + Co b) ¹50 [ ] + [ ] + ¹5N 40 c) 10K + [ ] 18Ar d) 21 Po 84 e) ¹3 Be →>> 2a + [ ] ¹2Be + [ ]Magnesium (12Mg) has three stable isotopes with consecutive mass numbers. Write the complete nuclear symbol (with neutron number) for each. (Enter your answer in the form AZX_{N}. Separate substances in a list with a comma.)The stable nuclei 36Ar and 76Se both differ by 20 in atomic number from 56Fe, which lies at the peak of the binding energy per nucleon curve. Find B/A for both 36Ar and 76Se. Which one has the larger B/A? Why is this to be expected?