The nuclear radii of aluminum and gold are approximately r= 3.6 fm and 7.0 fm, respectively. The radii of protons and alpha particles are 1.3 fm
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- 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 GThe two nuclei in the nitric oxide (NO) molecule are 0.1154 nm apart. The mass of the most common nitrogen atom is 2.326 * 10-26 kg, and the mass of the most common oxygen atom is 2.656 * 10-26 kg. Find the reduced mass of the NO molecule.Q3: The table shows two isotopes of potassium and two isotopes of calcium. Type of emission Mass of neutral atom / u Number of electrons Number of protons Number of neutrons Total mass/u Mass defect/ u Binding energy / J Mass of the electron = 0.000549 u Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 u TI ***** LEG 39K Stable 38.96371 SE nda 42K ß decay a) Use data about potassium-42 to explain the concept of mass defect. 3000 41.9624 19 19 23 42.34797 0.38557 5.76 x 10-11 De RAP 39 Ca ßt decay 38.9707 440 **** ****** D 42 Ca stable 41.95863
- 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.A beam of alpha particles is incident on a target of lead. A particular alpha particle comes in “head-on” to a particular lead nucleu and stops 6.50 * 10-14 m away from the center of the nucleus. (This point is well outside the nucleus.) Assume that the lead nucleus, which has 82 protons, remains at rest. The mass of the alpha particle is 6.64 * 10-27 kg. (a) Calculate the electrostatic potential energy at the instant that the alpha particle stops. Express your result in joules and in MeV. (b) What initial kinetic energy (in joules and in MeV) did the alpha particle have? (c) What was the initial speed of the alpha particle?In a high-energy electron scattering experiment on the nucleus, a scientist has scientist has possibilities to use energies of 200, 2000 and 20000 MeV. Which energy should the scientist use? Do the calculations and give the necessary arguments to show why the scientist makes the right decision.
- The gold nucleus has a mass of 3.27 × 10–25 kg. What is the density of the nucleus (in g cm–3)? 2.7 × 1014 3.5 × 1014 1.4 × 1014Alpha particles of kinetic energy 6.9M V are incident at a rate of 3.1x 10" per second on a copper foil of thickness 3.1 x 10-m. A circular detector of diameter 1.0cm is placed 13cm from the foil at an angle of 30° with the direction of the incident alpha particles. At what rate does the detector measure scattered alpha particles? (The molar mass of copper is 63.5 and its density is 8.9em-)