An alpha particle (charge 2e) is aimed directly at a gold nucleus (charge 79e). What minimum initial kinetic energy must the alpha particle have to approach within 5.0 * 10-19 m of the center of the gold nucleus before reversing direction? Assume that the gold nucleus, which has about 30 times the mass of an alpha particle, remains at rest.
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An alpha particle (charge 2e) is aimed directly at a gold nucleus
(charge 79e). What minimum initial kinetic energy must the alpha
particle have to approach within 5.0 * 10-19 m of the center of the
gold nucleus before reversing direction? Assume that the gold nucleus,
which has about 30 times the mass of an alpha particle, remains at rest.
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- How much kinetic energy must an alpha particle have before its distance of closest approach to a gold nucleus is equal to the nuclear radius (7.0 fm)in the stable isotope of Potassium 39K there are 19 electrons, 19 protons and 20 neutrons. The mass of the neutral atom is 38.96371 u. Calculate: Total mass / u Mass defect / u Binding energy / J Binding energy / MeV Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 uElements that appear in the same column of the periodic table often share similar chemical properties. For alkaline earth metals, this is troublesome because the body treats radium (a radioactive element) like calcium, storing it in the bone marrow. The radium then bombards nearby bone cells with alpha particles, causing them to "crumble." Radium poisoning investigations often center on the identification of radium and its isotopes in bone samples using a mass spectrometer. Pictured is a schematic of a simplified mass spectrometer that shows the paths of calcium isotopes, barium (another alkaline earth metal) isotopes, and radium isotopes entering the chamber. +++++++++ lonized Detector B C D E F G Using the data shown in the table, calculate the path radius r of the Ca ion. Using the same data table, match the particles to their path label. The region shown is immersed in a constant magnetic field of 0.352 T pointing out of the plane of the schematic. Motion of the positively-charged…
- The isotope of Nickel, 66Ni decays by β emission, has a half-life of 2.3 days. and the β particles have an average energy of 65 keV. A source consisting of this isotope has an initial number of atoms N0 = 5 x 1020 atoms. What is the power per unit area initially deposited by this source in a small target placed at 1m distance from the source? Select one: a. 35 W/m2 b. 1.45 W/m2 c. 4.5 kW/m2 d. 7.6 MW/m2answer all parts it is one single question.In a scattering experiment, an alpha particle A is projected with the velocity up = -(600 m/s)i + (750 m/s)j - (800 m/s)k into a stream of oxygen nuclei moving with a common velocity vo = (630 m/s)j. After colliding successively with nuclei B and C, particle A is observed to move along the path defined by the Points A₁(280, 240, 120) and A2(360, 320, 160), while nuclei B and Care observed to move along paths defined, respectively, by B₁(147, 220, 130), B2(114, 290, 120), and by C₁(240, 232, 90) and C₂(240, 280, 75). All paths are along straight lines and all coordinates are expressed in millimeters. Knowing that the mass of an oxygen nucleus is four times that of an alpha particle, determine the speed of each of the three particles after the collisions. The speed of particle A is The speed of particle B is The speed of particle Cis m/s. m/s. m/s.
- Identify the unknown particles X, A and Z in the following nuclear reactions: (a) X + He → "Mg + ¿n 12 (b) U + n→ Sr + ¿X + 2,n 235 90 Sr + ;X + 383. A beam of helium-3 atoms (m = 3.016 u) is incident on a target of nitrogen-14 atoms (m = 14.003 u) at rest. Dur- ing the collision, a proton from the helium-3 nucleus passes to the nitrogen nucleus, so that following the col- lision there are two atoms: an atom of "heavy hydro- gen" (deuterium, m = 2.014 u) and an atom of oxygen-15 15.003 u). The incident helium atoms are moving at (m a velocity of 6.346 × 10° m/s. After the collision, the deu- terium atoms are observed to be moving forward (in the same direction as the initial helium atoms) with a velocity of 1.531 x 10' m/s. (a) What is the final velocity of the oxygen-15 atoms? (b) Compare the total kinetic energies before and after the collision.What minimum energy E(min) is needed to remove a neutron from K40 and so convert it to K39? The atomic masses of the two isotopes are 39.964000 and 38.963708 u, respectively. E(min) = ? eV
- Using the data shown in the table, calculate the path radius of the Ca+ ion. Ca+ path radius: Charge (x10-19 С kg) Mass Isotope |(x10-25 & TOOLS x10 Ca+ 0.666 +1.602 Ca?+ 0.666 +3.204 Ba+ 2.28 +1.602 Ba2+ 2.28 +3.204 Ra+ 3.75 +1.602 Ra2+ 3.75 +3.204 Ra3+ 3.75 +4.806 Using the same data table, match the particles to their Path A path label. Answer Bank Path B Ca²+ Ra3+ Ca+ Path C Path D Ba+ Ra+ Ba2+ Path E Ra2+ Path F Path Ga) Calculate the energy corresponding to the Gamow peak for proton-proton fusion at T = 108K. b) Describe the PP chains in stars. c) Consider elastic scattering of electrons by a nucleus with charge distribution given by if r Ri, Pe(r) = = p/2 0 if Ri Ro, where r represents the radial distance from the centre of the nucleus. Calculate the form factor of the process. d) Consider two nuclei 2i4X2i+1 and 2, where i is a positive integer number. According to the semi-empirical mass formula for the binding energy, which one has larger binding energy? Justify your answer.A neutron in a star makes an elastic head-on collision with a carb on nucleus initially at rest. The mass of the carbon nucleus is 12 times the mass of the neutron mn = 1.7 ×10^−27kg. The initial kinetic energy of the neutron is 1.6 × 10^−13J. a) Show that the final speed of the carbon nucleus, Vc, is given by (see image) where vn is the initial speed of the neutron.