Use the uncertainty principle ∆p ∆x > h/2 to calculate the minimum kinetic energy of a nucleon known to be confi ned in 2H. What is the de Broglie wavelength of this nucleon? Is this reasonable?
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Use the uncertainty principle ∆p ∆x > h/2 to calculate the minimum kinetic energy of a nucleon known to be confi ned in 2H. What is the de Broglie wavelength of this nucleon? Is this reasonable?
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- α decay producing 228R . The parent nuclide is nearly 100% of the natural element and is found in gas lantern mantles and in metal alloys used in jets (228Ra is also radioactive).Suppose you are producing nanoparticles in a vacuum chamber with a pressure of 150 Pa. What is the size of the critical nucleus at 1473 K for (a) copper and (b) gold?2H is a loosely bound isotope of hydrogen. Calleddeuterium or heavy hydrogen, it is stable but relativelyrare—it is 0.015% of natural hydrogen. Note that deuteriumhas Z = N , which should tend to make it more tightlybound, but both are odd numbers. Calculate BE/A , thebinding energy per nucleon, for 2H and compare it with theapproximate value obtained from the graph in Figure.
- 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 + [ ]a) Calculate the energy corresponding to the Gamow peak for proton-proton fusion at T = 108K. b) Describe the PP chains in stars. c) Consider elastic scattering of electrons by a nucleus with charge distribution given by if r Ri, Pe(r) = = p/2 0 if Ri Ro, where r represents the radial distance from the centre of the nucleus. Calculate the form factor of the process. d) Consider two nuclei 2i4X2i+1 and 2, where i is a positive integer number. According to the semi-empirical mass formula for the binding energy, which one has larger binding energy? Justify your answer.Calculate the Q value and threshold energy for the 20Ne( α, 12C)12C reaction. What will be the sum of the kinetic energies of the 12C nuclei if the alpha particle initially has 45 MeV of kinetic energy in the lab?
- 56 Fe is among the most tightly bound of all nuclides. Itis more than 90% of natural iron. Note that 56 Fe has evennumbers of both protons and neutrons. Calculate BE/A , thebinding energy per nucleon, for 56 Fe and compare it withthe approximate value obtained from the graphCalculate the nuclear radii (in fm) of the following nuclides. (Round your answers to at least three significant figures.) (a) ?H | fm 24 (b) 12 | fm 59 (c) Ni 28 |fm (d) 197 Au 79 | fm2H is a loosely bound isotope of hydrogen, called deuterium or heavy hydrogen. It is stable but relatively rare — it form only 0.015% of natural hydrogen. Note that deuterium has Z = N, which should tend to make it more tightly bound, but both are odd numbers. Calculate BE/A, the binding energy per nucleon, for 2H in megaelecton volts per nucleon.