Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 32, Problem 77GP
(a)
To determine
The maximum Coulomb force exerted on the
α
particle.
(b)
To determine
The electric potential energy of the
α
particle at its point of closet approach.
(c)
To determine
The initial kinetic energy of the
α
particle.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An alpha particle (Z = 2, mass = 6.64 x 10-27 kg) approaches to within 1.00 x 10-14 m of a carbon nucleus (Z = 6). What are (a) the maximum Coulomb force on the alpha particle, (b) the acceleration of the alpha particle at this time, and (c) the potential energy of the alpha particle at the same time?
Alpha particles are projected toward a gold foil from a distance that is sufficiently large to consider the Coulomb force negligible. The gold nuclei have 118 neutrons and 79 protons. If a 3.60 MeV alpha particle has a scattering angle of 180° and the gold nucleus does not recoil, determine the distance of closest approach of the alpha particle.
Compute the gravitational and Coulomb force between two protons in 3He. Assume the distance between the protons is equal to the nuclear radius. The average nuclear potential energy is an attractive 40 MeV effective over a distance of 3.0 fm. Compare that energy with the potential energies associated with the gravitational and Coulomb forces at the same distance
Chapter 32 Solutions
Physics (5th Edition)
Ch. 32.1 - Prob. 1EYUCh. 32.2 - A given nucleus can decay by alpha decay, beta...Ch. 32.3 - Prob. 3EYUCh. 32.4 - Prob. 4EYUCh. 32.5 - Prob. 5EYUCh. 32.6 - Prob. 6EYUCh. 32.7 - Prob. 7EYUCh. 32.8 - Prob. 8EYUCh. 32.9 - Prob. 9EYUCh. 32 - Prob. 1CQ
Ch. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - Prob. 7CQCh. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 1PCECh. 32 - Prob. 2PCECh. 32 - Prob. 3PCECh. 32 - Prob. 4PCECh. 32 - Prob. 5PCECh. 32 - Prob. 6PCECh. 32 - Prob. 7PCECh. 32 - Prob. 8PCECh. 32 - Prob. 9PCECh. 32 - Prob. 10PCECh. 32 - Prob. 11PCECh. 32 - Prob. 12PCECh. 32 - Prob. 13PCECh. 32 - Prob. 14PCECh. 32 - Prob. 15PCECh. 32 - Prob. 16PCECh. 32 - Prob. 17PCECh. 32 - Prob. 18PCECh. 32 - Prob. 19PCECh. 32 - Prob. 20PCECh. 32 - Prob. 21PCECh. 32 - Prob. 22PCECh. 32 - Prob. 23PCECh. 32 - Prob. 24PCECh. 32 - Prob. 25PCECh. 32 - Prob. 26PCECh. 32 - Prob. 27PCECh. 32 - Prob. 28PCECh. 32 - Suppose we were to discover that the ratio of...Ch. 32 - A radioactive sample is placed in a closed...Ch. 32 - Radon gas has a half-life of 3.82 d. What is the...Ch. 32 - Prob. 32PCECh. 32 - The number of radioactive nuclei in a particular...Ch. 32 - Prob. 34PCECh. 32 - Prob. 35PCECh. 32 - Prob. 36PCECh. 32 - Prob. 37PCECh. 32 - Prob. 38PCECh. 32 - Prob. 39PCECh. 32 - Prob. 40PCECh. 32 - Prob. 41PCECh. 32 - Prob. 42PCECh. 32 - Prob. 43PCECh. 32 - Prob. 44PCECh. 32 - Prob. 45PCECh. 32 - Prob. 46PCECh. 32 - Prob. 47PCECh. 32 - Prob. 48PCECh. 32 - Prob. 49PCECh. 32 - Prob. 50PCECh. 32 - Prob. 51PCECh. 32 - Prob. 52PCECh. 32 - Prob. 53PCECh. 32 - Prob. 54PCECh. 32 - Prob. 55PCECh. 32 - Consider a fusion reaction in which two deuterium...Ch. 32 - Prob. 57PCECh. 32 - Prob. 58PCECh. 32 - Prob. 59PCECh. 32 - Prob. 60PCECh. 32 - Prob. 61PCECh. 32 - Prob. 62PCECh. 32 - Prob. 63PCECh. 32 - Prob. 64PCECh. 32 - Prob. 65PCECh. 32 - Prob. 66PCECh. 32 - Prob. 67PCECh. 32 - Prob. 68GPCh. 32 - Prob. 69GPCh. 32 - Prob. 70GPCh. 32 - Prob. 71GPCh. 32 - Prob. 72GPCh. 32 - Prob. 73GPCh. 32 - Moon Rocks In one of the rocks brought back from...Ch. 32 - Prob. 75GPCh. 32 - Prob. 76GPCh. 32 - Prob. 77GPCh. 32 - Prob. 78GPCh. 32 - Prob. 79GPCh. 32 - Prob. 80GPCh. 32 - Prob. 81GPCh. 32 - Prob. 82GPCh. 32 - Prob. 83GPCh. 32 - Prob. 84GPCh. 32 - Prob. 85GPCh. 32 - Prob. 86GPCh. 32 - Prob. 87GPCh. 32 - Prob. 88GPCh. 32 - Prob. 89PPCh. 32 - Prob. 90PPCh. 32 - Prob. 91PP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forward(a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forwardts) We can approximate the 232Th nucleus as a one-dimensional infinite square well with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic mass number. (a) What is the length of this infinite square well? What is the ground state energy of a proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well? (b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons trapped in the infinite square well. How many energy levels of this infinite square well contain protons? How many energy levels contain neutrons?arrow_forward
- Consider a model of the nucleus in which the positive charge (Ze) is uniformly distributed throughout a sphere of radius R. By integrating the energy density 1/2∈0E2 over all space, show that the electric potential energy may be written U = (3Z2e2)/(20π∈0R) = (3keZ2e2)/(5R)arrow_forwardA solid copper sphere whose radius is 1.0 cm has a verythin surface coating of nickel. Some of the nickel atoms areradioactive, each atom emitting an electron as it decays. Halfof these electrons enter the copper sphere, each depositing 100 keVof energy there.The other half of the electrons escape, each carryingaway a charge e.The nickel coating has an activity of 3.70 *10^8 radioactivedecays per second. The sphere is hung from a long, nonconductingstring and isolated from its surroundings. (a) How longwill it take for the potential of the sphere to increase by 1000 V? (b)How long will it take for the temperature of the sphere to increaseby 5.0 K due to the energy deposited by the electrons? The heatcapacity of the sphere is 14 J/K.arrow_forwardA 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?arrow_forward
- In an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial kinetic energy of the alpha particle is 2.0MeV.(a.) What is the potential energy of the alpha particle/gold nucleus system at closest impact?(b.) Calculate the distance of closest approach. Compare this distance with the radius of the gold nucleus.arrow_forwardSuppose the alpha particle in a Rutherford scattering experiment is replaced with a proton of the same initial kinetic energy and also headed directly toward the nucleus of the gold atom. (a) Will the distance from the center of the nucleus at which the proton stops be greater than, less than, or the same as that of the alpha particle? (b) If, instead, we switch the target to a nucleus with a larger value of Z, is the stopping distance of the alpha particle greater than, less than, or the same as with the gold target?arrow_forwardAn α-particle moving with initial kinetic energy K towards a nucleus of atomic number z approaches a distance ‘d’ at which it reverses its direction. Obtain the expression for the distance of closest approach ‘d’ in terms of the kinetic energy of α-particle K.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College