Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K, of the alpha particle in the following decay of a 235 U nucleus at rest. 235 U 231 Th+a K₁ = MeV
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- The following reaction shows the beta decay of a °H nucleus. H- He + e +v 3 1 Determine the total energy (in kev) released in this decay. kevIn the fusion reaction H+H He + n the masses of deuteron, helium and neutron express ed in amu are 2.015, 3.017 and 1.009 respectively. If 1 kg of deuterium undergoes complete fusion, find the amount of total energy released. 1 amu = 931.5 MeV/c.Viaps Identify the unknown particle X in the following nuclear reaction equations. (Enter your answe chemPad O Help Greek 239 (a) He + 240 -> 95 Am + X + 2 n 94 Pu chemPad O Help Greek - (b) He + X- 56 Fe + 26 chemPad OHelp Greek 238 241 (c) He +92U 94 Pu + X Help chemPad Greek (d) x + 0-N +He
- A beam of 6.61-MeV protons is incident on a target of 27/13 AI . Those protons that collide with the target produce the reaction (27/14Si has a mass of 26.986 721 u.) Neglecting any recoil of the product nucleus, determine the kinetic energy of the emerging neutrons.Consider the following decay: 232 U → 228 Th + a . 232 U has a mass of 232.0371562 u, 228 Th has a mass of 228.0287411 u, and a has a mass of 4.002603 u. 92 90 92 90 Determine the disintegration energy (Q-value) in MeV. Q = Determine the KE of the daughter in MeV. KED = Determine the KE of the a particle in MeV & as a factor of Q. KE, = KEa = Qx Determine the speed of the a particle in terms of c. For an a particle, E. = 3.727 GeV. [NOTE: G stands for giga- which means 109 & M stands for mega- which means 10°.] Valpha = XCTaking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K, of the alpha particle in the following decay of a 23Th nucleus at rest. 225 Ra +a MeV
- Suppose the difference in rest energy of the neutron and proton were Qn = (mn − mp)c2 = x MeV instead of Qn = 1.29MeV, with all other physical parameters unchanged. Estimate Ymax, the maximum possible mass fraction in 4He, assuming that all available neutrons are incorporated into 4He nuclei. Value: x=0.183 MeV Hint: Compare the new rest energy of the neutron to the electron and consider how that would impact the decay of neutrons. Will free neutrons decay at all in this scenario? If the neutron decay is negligible, then the ratio of protons to neutrons to protons will remain the same as it was at the time of freeze-out (for a given Qn).One method used to determine unknown atomic masses consists of precisely measuring the kinetic energies of the particles involved in a nuclear reaction and using known atomic masses. The mass of 34Si is determined by the 30Si(18O, 14O)34Si reaction initiated by 100-MeV 18O particles. The outgoing particles have 86.63 MeV of energy, which can be determined only by measuring the 14O energy and using the conservation of momentum and energy. (a) What is the Q value of the reaction? (b) What is the mass of 34Si assuming the other three masses involved are knownThe rest mass of a proton is 1.0072764666 u and that of a neutron is 1.0086649158 u. The "He nucleus weighs 4.002602 u. Calculate the total binding energy of the nucleus.
- 98/43Tc decays by emitting a 140 keV gamma ray—a highenergy photon. The mass of the nucleus is approximately 98 u. By what fraction does the mass of the nucleus decrease when the gamma ray is emitted?c) The equation below describes the disintegration of a polonium nucleus into a lead nucleus and an alpha-particle. During the reaction energy Q is released. 210Po → He +²02Pb+Q 84 82 Calculate the loss of energy during the reaction. The masses in the atomic mass unit u are as follows: 210 206 Po= 209.98287 u, Pb = 205.97446 u and He = 4.002604 u. 84 82 You may assume that 1u is equivalent to 931 MeV. d) The lead nucleus recoils in the opposite direction to the emitted alpha particle conserving momentum. Hence calculate: i) The ratio of the recoil nucleus and alpha particle velocities ii) The kinetic energy distribution of these products.Naturally occurring 40K is listed as responsible for 40 mrem/y of background radiation. Calculate the mass of 40K in grams that must be inside the 54 kg body of a woman to produce this dose. Each 40K decay emits a 1.32 MeV B, and 59% of the energy is absorbed inside the body. g