14 May T 6. In a mass spectrometer, if the following particles were accelerated into an identical magnetic field, which particle will have a lager radius of curvature? You may assume that they enter the mass spectrometer with identical velocity. a) a proton (1p) c) a triton (1p+3n) b) a deuteron (1p+ln) d) an alpha particle (2p+2n)
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- 14. In the β+ decay of nitrogen-12 (12.01864 u) into carbon-12 (12.00000 u), a positron with energy of 11.0 MeVis emitted. What is the energy of the electron neutrino? Assume the mass of the positron is 5.485799 x 10-4 u(same as an electron).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 10-273. What magnetic field is required for the 7.0-TeV protons in the 4.25-km radius Large Hadron Collider (LHC)? 4. Show that the energy of a particle (charge q.) in a synchotron, in the relativistic limit (v z c), is given by E = Brc, where E is measured in eV, B is the magnetic field, and r is the radius of the orbit.
- 7 mi.. of. tr. J. 0.. J.. D. e.. 8 Al 32. A baryon is a hadron composed of THREE quarks. A neutron is a baryon with the following quark designation: cbb Oudd Duud Ouss 33. Which of the following decay equations describes beta positive decay? Ouududd +e++v Oudd uud+e++v Oudduud +e+v Ouududd +e+v Written Response 34. hp BB afe FAWhat particle does the X stand for in the antimuon decay mu+ --> ve + vmu + X? Explain how you know.A free neutron decays into a proton plus an electron: n -> p + e- . This is called beta decay. a. Is energy released or absorbed in this reaction? b. Calculate the energy.
- 6. One form of nuclcar radiation, beta decay, occurs when a neutron changes into a proton, an clectron, and a neutral particle called an antineutrino: n → p+ + e¯ +Ve, where ve is the symbol for an antincutrino. When this change happens to a neutron within the nucleus of an atom, the proton remains behind in the nucleus while the clectron and neutrino are ejected from the nucleus. The ejected electron is called a beta particle. One nucleus that exhibits beta decay is the isotope of hydrogen ³H, called tritium, whose nucleus consists of one proton (making it hydrogen) and two neutrons (giving tritium an atomic mass m = 3u). Tritium is radioactive, and it decays to helium: 3H → *He + e¯+Ve• (a) Is charge conserved in the beta decay process? Explain. (b) Why is the final product a helium atom? Explain. (c) The nuclei of both 3H and 3He have radii of 1.5 x 10 15 speed must the electron be ejected if it is to escape from the nucleus and not fall back? m. With what minimum2) We have discussed in the lectures that on the equator earth's magnetic field is approximately 50µT in strength and points northward. Suppose a proton from the sun manages to get through the van Allen belt and hits the magnetic field at a right angle with a speed of v= 150km/s. We have discussed in class that the particle will move on a circle path. a) What is the radius of this path? b) What is the synchrotron frequency?