13- Given the following atomic masses. [answer = 2.93 x 10'11 J] 33-'U = 3.9029x10'35 kg n=1.5749x10'37 kg \"\"xe=2.3234x10'lj kg 9's:-=1.:=595x10'35 kg determine the energy produced in the following fission reaction: 3\" . . '3U+ n ) 13131:- gESrv2n 19- Given the following masses. [answer = 2.33 X 133'12 J] IIkt= 3.3444x10'r kg 3H: 5.0033104? kg n=16t49x104i kg JHe: 6.54633-(1027 kg determine the energy produced in the following fusion reaction: 3 ;H*'1H > :lHe-e an 20. Calculate the energy released by the reaction. [answer = 172.9 Meir] EU + [In 3 32r+122Te+3tin Masses: uranium235 = 235043930, n = 1.008665, zirconium94 = 93.906315, tellurium139 = 138934700 1 u = 1.660539 x 10'27 kg 21. A uranium235 nucleus absorbs a neutron and the splits into a bromine87 nucleus, a lanthanum146 nucleus and additional neutrons. How many neutrons are released and what is the energy released in the reaction? [3 neutrons, 167.8 Me'v'] (Bromine87 = 86.920711 u, lanthanum146 = 145.925791l 22. A neutron is emitted when aluminum27 absorbs an alpha particle. Write the process for this reaction. 23. Write the reaction for the fusion of helium-4 with oxygen16. How much energy does this reaction release? [4.730 Me'v'] Helium 4 = 4.002603 u oxygen16 = 15.994915 u neon20 = 19.992440 u 24. Given the following masses Hydrogen2 2.0141 u hydrogen3 3.0161 u neutron = 1.008? U helium 4 =4.0026 u Determine the energy produced in the following fusion reaction: [answer= 2.82 x 10'12J] fH+ 3H I- :He+u'r1 Lesson 4: The subatomic world 25. 26. 27. 28. 29. 30. 31. 32. Find the energy equivalent of the mass ofa neutron. [942 MeV] What is the wavelength ofthe photons produced in electronpositron pair annihilation? {2.4 x 10'12 ml Which fundamental force is the strongest over large distances? What is the strongest over short distances? What is the weakest fundamental force? ,r'"' -.._,_ The diagram shows a particle track recorded in a bubble " WK f; chamber at the CERN particle accelerator. The magnetic , " I/"F: '\"\\_ \\ field in the bubble chamber was 1.2 T directed out of the { If {R \\ \\J' \\1 page. . i - . I' l r (a) Does the particle have a positive or negative '\\ '\\1{\\'jf/ ,' I charge? Explain your reasoning. \\' __, / ' (b) Estimate the initial radius ofthe particle's path. WL/ g [10 cm] ._\\ / (c) Determine the initial momentum of the particle. 1\"\" -~.Q_____ _-/ Assume the particle is an electron or a positron. _ '4 _ ' [13 X 10-20 NS] 0 2 4 E 8 ll] cm (d) Why does the particle's path spiral inward? (el What could cause the short tracks that branch off from the large spiral track? The mass of a psi particle is 3.097 GeWcz. Express this mass in kilograms. [5.506 x 10'\" kg] An Xray photon with a frequency of 1.8 x 1015 Hz collides with a nucleus. Will electronpositron pair production occur? Explain your answer. In the 8" decay of nitrogen12 [12.01864 uJ into carbon12 (12.00000 ul, a positron with energy of 11.0 MeV is emitted. What is the energy of the electron neutrino? Assume the mass of the positron is 5.485799 x 10\" u (same as an electron) (5.8 MeV] Protons injected into the Tevatron Magnets :ch coaxial uilh Mann ring rings synchrotron at the Fermilah travel around a + Plum\" mm circumference of 6.4 km. When they are " A-FF'dlP injected into the synchrotron, they have an 'W W -. n_-, . ' _'_'__,_._-y . ,, energy of 8.0 GeV, but when they leave they can have an energy of 1.0 Te'v'. If the M" protons gain 30 Me'v' in each rotation, how 'W many rotations are required and how far do Anuprumn um- '['cvalmn ring the protons travel? {3.3 x 105 rotations, 2.1 x 105 m] 33. The tracks in this diagram show the creation of two particles in a bubble chamber. Initially, the two particles have the same speed. - - .- as ' (a) What evidence suggests that a photon created the two particles? . .lx 3 . I} . (b) Describe the path of this photon. . r71; ' (c) Which of the tracks shows the path of a positively charged particle? / _ a\"; (d) Give two reasons why the other track must show the path of a negatively ' .' ('3) ' l charged particle. - "x: J-r - {e} How are the mass and charge of the two particles related? (f) Why is it likely that the interaction involves an antiparticle? 34. Doubly charged magnesium25 ions are deflected by a uniform magnetic field [B = 0.725 T] in the ion separation region of a mass spectrometer. If these ions have kinetic energy of 8.35 x 10'16 J as they enter the ion separation region, what is the radius of curvature of their path? [3.60x 1E2"2 m] 35. What is the difference between Ha drons and Leptons? What type of particle is an electron? How about a positron? How about a proton? How about an antiproton? 36. Identify a major difference that distinguishes (a) mesons from baryons (b) fermions and bosons 37. Compare the quark composition ofa proton to that of a neutron. 38. List the 12 fundamental particles of matter in the standard model. 39. Determine the charge on a particle having the quark composition uus. [+1] For this assignment use the following masses for the proton and neutron: 0 Proton: m = 1.0072764? u o Neutron: m = 1.008655 u