Helpful information: (1) An alpha particle is a helium nucleus, (2) ● e = 1.6 x 10-1⁹ C, (3) ke = 9.0 x 10° N m² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle?

Helpful information: (1) An alpha particle is a helium nucleus, (2) ● e = 1.6 x 10-1⁹ C, (3) ke = 9.0 x 10° N m² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter11: Particle Physics And Cosmology

Section: Chapter Questions

Problem 60P: Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton...

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(a) If the average molecular mass of compounds in food is 50.0 g, how many molecules are mere in 1.00 kg at food? (b) How many ion pairs are created in 1.00 kg of food, if it is exposed to 1000 Sv and it takes 32.0 eV to create an ion pair? (c) Find the ratio of ion pairs to molecules. (d) If these ion pairs recombine into a distribution of 2000 new compounds, how many parts per billion is each?
Enter the correct nuclide symbol in each open tan rectangle in Figure P43.25, which shows the sequences of decays in the natural radioactive series starting with the long-lived isotope uranium-235 and ending with the stable nucleus lead-207. Figure P43.25
(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?
Suppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?
A chain of nuclear reactions in the Suns core converts four protons into a helium nucleus. (a) What is the mass difference between four protons and a helium nucleus? (b) How much energy in MeV is released during the conversion of four protons into a helium nucleus?
An Erbium-166 nucleus contains 68 protons. The atomic mass of a neutral Erbium-166 atom is 165.930u, where u = 931.5 MeV/c². In this question you may use that the mass of a proton is 938.27 MeV/c², the mass of a neutron is 939.57 MeV/e² and the mass of an electron is 0.511 MeV/c². i. Calculate the nuclear binding energy per nucleon, giving your answer in units of MeV. ii. Electrons with an energy of 0.5 GeV are scattered off the nucleus. Estimate the scattering angle of the first minimum in the resulting diffraction pattern. iii. Briefly comment on whether or not you expect this nucleus to be spherical, and what consequence this has for excited states of the nucleus in the collective model.
One of the end stages of stellar life is a neutron star, where matter collapses and electrons combine with protons to form neutrons. Some liken neutron stars to a single gigantic nucleus. Calculate the radius in meters of a neutron star with a mass 3.34 x 1030 kg, treating it as a giant nucleus. Consider the mass of a nucleon 1.675 x 10-27 kg. Your answer should be in the form of N x 104 years.
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.
d) The equation below describes the disintegration of a bismuth nucleus into a thallium nucleus and an alpha-particle. During the reaction energy Q is released. 212 208 Bi He + 83 81 TI + energy released Q. The masses in the atomic mass unit u are as follows: 212 83 208 Bi = 211.99127 u, 81 TI = 207.98201 u and He = 4.002050 u. You may assume that 1u is equivalent to 931 MeV. Calculate: i) The loss of mass during the reaction. ii) kinetic energy of the products. e) When an alpha particle is emitted, the thallium nucleus recoils in the opposite direction. Use the principle of the conservation of momentum to estimate how the kinetic energy will be shared between the thallium nucleus and the a- particle.
A new element has been created artificially. It is named Elementy McFacium. The most common isotope of McFacium has 153 protons and 277 neutrons. The mass of this isotope of the new element is 402,188.91 MeV/c^2. What is the total mass deficit for the nucleus? Hint: The new element is not made as an ion! Use the mass of hydrogen atoms instead of protons. (Answer in atomic mass units u)
An alpha particle is accelerated from rest through a potential difference of 35 MV. What is the kinetic energy of the alpha particle, in MeV? Answer:
Gold-197 has an atomic number of 79 and an atomic mass number of 197. The mass of a gold nucleus is 196.96657 u, whereas the mass of a proton is 1.00727u and the mass of a neutron is 1.00866u. What is the binding energy of a gold nucleus, expressed in MeV? (Use c=3E8 m/s for the speed of light and beware of units)