2D quiz 5 solution.pdf

2D quiz 5 solution.pdf - Physics 2D Quiz 5 solution Siyang...

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Physics 2D Quiz 5 solution Siyang Wang June 4, 2016 prob 1 In the NMR process, what frequency of EM radiation will be absorbed and emitted by free protons in a magnetic field of 1T? The magnetic moment for proton spin is: The energy difference between two spin(magenetic moment =plus or minus μ proton ) is: Δ E = Δ μ p B = 2 × 2 . 79 μ N B = hf EM f EM = 4 . 25 × 10 7 Hz prob 2 Using the atomic mass of 33 Fe 26 of 55.934939u, computing its binding energy per nucleon. Binding energy for Iron is: B.E. = [26 M H + (56 - 26) m n - 55 . 934939 u ] c 2 Where M H =1.007825u and m n =1.0086649u So binding energy per nucleon for 33 Fe 26 is B.E./ 56 = 8 . 79MeV prob 3 238 U , the most copious isotope of Uranium, decays by α emission followed by β - twice, then there are 5 consecutive α emissions. What isptope is produced. For α decay, nucleon number decrease by 4 and atomic number(number of proton) by 2. In β - becay there will be one neutron turn into proton so the number of nucleon unchanged but the proton number will increase by 1. So totally 6 α decays decrease nucleon number by 24 and proton number by 12. 2

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