5. Which of the following nuclear reactions would violate con- servation of baryon number? A. p n+e. B. et + e → 2y. C. n+p n +n+ e*. D. p +p +np+n+e* + y.
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- 1. Which of the following types of decay particles is known as a positron? a. α particle b. β− particle c. β+ particle d. γ ray 2. To date the age of the oldest materials, scientists would normally turn to the radioactivity of a. Carbon b. Uranium c. Lead d. Nitrogen 3. Atoms can a. Only transmute into completely different atoms in nature b. Only transmute into completely different atoms in the laboratory c. Transmute into completely different atoms in both nature and laboratories d. Never transmute into completely different atoms 4. An electron with a mass m and a charge, e enters a uniform magnetic field, B at a velocity, v perpendicular to the field. Determine the radius of the curvature of the electron in the field? a. mv/eB b. eB/mv c. me/vB d. mB/ev 5. Which one of the following choices is not a possible way to produce a magnetic field? a. Set up a current in a long, straight wire. b. Uniformly distribute charges over the surface of a conductor. c.…37 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 FA
- 3. Explicitly calculate the binding energy and binding energy per nucleon for O by comparing the mass of the atom to the sum of the masses of the constituent protons, electrons, and neutrons. You may ignore the binding energy of the electrons in the problem. [MeV]1) 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+V₂3. the value of Q from the following decay: Calculate π a. →μ +V b. π →γ+γ πο c. K >π επ d. Σ* →p+7° Σ° +1° +γ e.
- 2. Using the shell model, deduce the ground state and first excitations of the following nuclei: 190, 43Ca, 103Sn and 211Pb. Explain in detail some limitations of the shell model.1.Tell how many protons, electrons and neutrons there are in each of the ff. Atoms: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 minimum
- 15. Which of the following nuclei is most likely to decay by positron emission? Explain your choice. a. chromium-53 b. manganese-51 c. iron-59C3. A Rubidium nucleus undergoes the electron capture as given by 33Rb + e¯ → AXN+Y. Assume the electron came from the K-shell of Rubidium and K-edge is 15.2 keV. Given that the mass of neutral atom 33Rb is 82.9151106u, and the mass of neutral atom 4XN is 82.9141360u. (a) Determine the values of A, Z and N. (b) Given the name of particle Y. (c) Calculate the disintegration energy of the decay (in MeV). (d) Explain why K-edge should be considered in electron capture. Express the values to 3 significant figures, if necessary.2. The decay constant, Ai, for the a transition of 243 Am95 () to the various levels of 239NP93 may be estimated from In 1= 48.4 + 2.97 R½ Z¼ - 3.97 Z/T« - 660 o = 0.002la(la+1) where Z is the atomic number of the daughter nucleus, R is the radius of the daughter nucleus in femtometers and approximated by R=1.2XA3, Ta is the kinetic energy of the a - particle in MeV and la is the angular momentum carried by the a- particle. a. Calculate the branching ratio of the 3 transitions. b. Estimate the mean lifetime of the 243Amº5 5- c. The transition from the 239N%93 () to the state proceeds either directly by gamma emission or by gamma emission to the state first or by internal conversion of K-electron, with a conversion coefficient of 2. Use Weisskopf estimates to calculate the lifetime of the 9- excited state.