3-4 Find the minimum kinetic energy in the laboratory system that a proton must have to initiate the reaction: M(N ) = 14.0031 u, M(0) = 14.9905 u. ip+"N→;0+;n %3D %3D
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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 10-271) For each of the following reactions work out the fastest interaction through which the conservation laws allow it to proceed. Explain your answers. If the reaction is forbidden by all interactions explain why: -+ a. pn++μ+ +μ¯ b. Aºp+e¯ c. μ΄ →e + V d. p+p→y+Y e. Kºn++ π + π° +7° f. π+pAº + Kº g. Aºn+p h. pnº+e+ + ve i. n→p+e+V₂
- 10. An electron has been placed at the origin. The grid spacing is 1 Angstrom per small square this time. Now you have a nucleus with 18 protons at x = 2.1 Angstroms on the x-axis. How much work would it take to bring in ANOTHER nucleus with 14 protons from 1 m away and place it at y = 8.0 Angstroms on the y-axis? 165.2 eV 413.1 eV -25.2 eV 438.2 eVConsider an object of mass 76.4 kg. Assume that it s made up of equal numbers of protons, neutrons, and electrons. How many protons does this object contain? 4.58E+28 9.16E+28 1.15E+28 2.29E+28