9) Calculate the energy required to bring two Helium nuclei together overcoming the Coulombic repulsion.
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- 14:56 Sun 19 May 2 of 8 SECTION A qmplus.qmul.ac.uk Answer ALL questions in Section A Expect to use about half a page for each section A solution. Question A1 Give the term used in condensed matter physics for each of the following: a) The centre of the Brillouin zone [1 mark] b) A method for generating a neutron beam by bombarding a heavy metal target with protons [1 mark] c) The group of atoms associated with each lattice point in a crystal structure d) The Fourier transform of the lattice of a crystal [1 mark] [1 mark] e) A vibrational mode whose frequency tends to zero as the wavevector approaches zero [1 mark] f) A model of electronic structure in which electrons move in a weak, periodic potential and do not interact with each other by the Coulomb force [1 mark] Question A2 The body-centred cubic structure is common among metals. a) How many nearest neighbours has each atom in this structure? Give the nearest-neighbour distance in terms of the unit cell parameter a. [2 marks] b)…Particle Electron Proton Neutron Relative Charge -1 +1 0 What is: Electric Charge (C) -1.60 x 10-19 +1.60 x 10-19 0 a) The mass defect? Relative Mass (u) 5.485779 x 10-4 1.007276 1.008665 1u = 1.6605 x 10-27 kg 1eV = 1.60 x 10-19 Joules The 'cheating' equivalence shortcut 1u- 931.5 MeV He is the most abundant isotope of helium. Its mass is 6.6447x 10-27kg. Mass (kg) b) The binding energy of the nucleus in joules? 9.109390 x 10-31 1.672623 x 10-27 1.674929 x 10-2710. What prevents gravity from pulling you through the ground to the center of Earth? Choose the best answer. A. The positive nuclei of your body's atoms repel the positive nuclei of the atoms of the ground. B. The density of the ground is greater than the density of your body. C. Atoms are bound together by chemical bonds. D. Electrons on the ground's surface and the surface of your feet repel one another.
- Using the data shown in the table, calculate the path radius of the Ca+ ion. Ca+ path radius: Charge (x10-19 С kg) Mass Isotope |(x10-25 & TOOLS x10 Ca+ 0.666 +1.602 Ca?+ 0.666 +3.204 Ba+ 2.28 +1.602 Ba2+ 2.28 +3.204 Ra+ 3.75 +1.602 Ra2+ 3.75 +3.204 Ra3+ 3.75 +4.806 Using the same data table, match the particles to their Path A path label. Answer Bank Path B Ca²+ Ra3+ Ca+ Path C Path D Ba+ Ra+ Ba2+ Path E Ra2+ Path F Path GChemistry Calculate the coulomb energy for the following three nuclei using the semi-empirical mass formula. a) 19F b) 48Ti c) 63CuA Uranium 235 atom has 92 protons in the nucleus and has a mass of 3.92 E-25 kg. A) How many Uranium atoms would you need to have 1.00 Coulombs of protons? B) What mass of Uranium would that be?