Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 35, Problem 23E
To determine
The minimum energy for the alpha particle.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In a Rutherford scattering experiment, assume that an incident alpha particle (radius 1.80 fm) is headed directly toward a target gold nucleus (radius 6.23 fm).What energy must the alpha particle have to just barely “touch” the gold nucleus?
Assume that an atomic nucleus can be thought of as a three-dimensional box with a width of 2 x 10^-14 m. If a proton moving as particles in this box, specify : The energy of the base state of the proton in MeV
What is the minimum energy of (a) a proton and (b) an α particle trapped in a one-dimensional region the size of a uranium nucleus (radius 7.4 x 10 -15 m)?
Chapter 35 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
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
- The speed of the alpha particles in Rutherford experiment was 0.01c, the scattering material was gold. What was the impact parameter of the alpha particle scattered by 60°?arrow_forwardA 20 MeV alpha particle is fired toward a 238U nucleus. It follows the path as shown. What is the alpha particle’s speed when it is closest to the nucleus, 20 fm from its center? Assume that the nucleus doesn’t move.arrow_forwardIn how many different configurations can four particles be distributed over a set of evenly spaced energy levels (AE=ɛ) such that the total energy is 4ɛ? Select one: а. 8 b. 11 С. 5 d. 3arrow_forward
- While reproducing the Rutherford scattering experiment in an advanced laboratory class, a student uses a gold foil with thickness 28.8 nm. The radioactive source emits α particles at 7.70 MeV, and the detector is placed at 12.5 cm from the target foil. What fraction of the α particles is detected per unit area at an angle of 40.6°? What fraction of the α particles will scatter to the angle given above or higher?arrow_forwardThe Van der Waals interaction energy between two spherical nanoparticles of diameters D₁ and D2, a distance d apart is found to be 1 f E -- A y y 12x²+xy+x x²+xy+x+y + Solid 1 D₁ Where A is a positive constant termed Hamaker constant and x = d +2ln Liquid x²+xy+x x²+xy+x+yl = d / D₁ and y = D₂ / D₁ Solid 2 D₂ Use the above expression to determine (a) the interaction energy of a sphere and an infinite flat surface and (b) the force between two identical spheres.arrow_forwardT1arrow_forward
- a) Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 6.0fm b) What is the kinetic energy of a photon with that momentum. c) Suppose a photon in that nucleus had a kinetic energy of 5.6MeV. If the photon were represented by a de Broglie wave, how many wavelengths could fit across the diameter of the nucleus?arrow_forwardWhat are the approximate energies (in keV) of the K and K x rays for scandium? Ka 6 × kev kevarrow_forward(1) A particle of mass m in the potential V(x) = \frac {1}{2}m\omega^{2}x^{2} has the initial wave function: \ Psi(x, 0) Ae^{\beta \xi ^{2}}. (a) Find out A. (b) Determine the probability that E_{0} = \hbar\omega/2 turns up, when a measurement of energy is performed. Same for E_{1} 3\hbar\omega/2. (c) What energy values might turn up in an energy measurement? [ Notice that many n values are ruled out, just as in your answer to (b).] (c) Sketch the probability to measure \ hbar\omega/2 as a function of and explain the maximum any calculation? why is it expected to be there, even without performingarrow_forward
- Alpha particles are scattered from a thin aluminum foil. At what alpha-particle kinetic energy would you expect the Rutherford formula to fail because the alpha particle enters the aluminum nucleus? Assume r = 1.9 fm for the alpha particle and 3.6 fm for the aluminum nucleus.arrow_forwardAssume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of width 10.0 fm. (a) What are the energies of the proton when it is in the states corresponding to n=1,n=2, and n=3? (b) What are the energies of the photons emitted when the proton makes the transitions from the first and second excited states to the ground state?arrow_forwardAn alpha particle of mass 3727.4 x 106 eV/c² is trapped in a box of size L = 0.000001 nm = 106 nm (the size of a nucleus). Treat this as a 1D infinite square well. Find: (a) The n = 5 wavefunction and probability density. Draw a graph. (b) The ground state energy and first excited state. (c) The wavelength of a photon emitted when the alpha particle transitions from the first excited state to the ground state. [Note that wavelengths between 0.001 nm to 10 nm are x rays and less than 0.001 nm are gamma rays.] (d) The probability that the alpha particle is in the range x = 0 to x = 2/5L for the n= 5 state. (e) The expectation value of the position of the alpha particle for then=5 state. If by inspection, explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning