Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 41, Problem 5P
(a)
To determine
First three energies for a neutron trapped inside a nucleus of diameter
(b)
To determine
Check whether the energy level difference have realistic order of magnitude or not.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
(a) Use the quantum-particle-in-a-box model to calculate the first three energy levels of a neutron trapped in an atomic nucleus of diameter 20.0 fm. (b) Explain whether the energy-level differences have a realistic order of magnitude.
A neutron is confined in a deuterium nucleus (deu-
teron) of diameter 3.1 X 10-15 m. Use the energy-
level calculation of a one-dimensional box to calcu-
late the neutron's minimum kinetic energy. What is
the neutron's minimum kinetic energy according to
the uncertainty principle?
What is the radius for an electron having total energy of -3eV in the third
energy level?
Chapter 41 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 41.1 - Prob. 41.1QQCh. 41.2 - Prob. 41.2QQCh. 41.2 - Prob. 41.3QQCh. 41.5 - Prob. 41.4QQCh. 41 - Prob. 1OQCh. 41 - Prob. 2OQCh. 41 - Prob. 3OQCh. 41 - Prob. 4OQCh. 41 - Prob. 5OQCh. 41 - Prob. 6OQ
Ch. 41 - Prob. 7OQCh. 41 - Prob. 8OQCh. 41 - Prob. 9OQCh. 41 - Prob. 10OQCh. 41 - Prob. 1CQCh. 41 - Prob. 2CQCh. 41 - Prob. 3CQCh. 41 - Prob. 4CQCh. 41 - Prob. 5CQCh. 41 - Prob. 6CQCh. 41 - Prob. 7CQCh. 41 - Prob. 8CQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Two particles with masses m1 and m2 are joined by...Ch. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 48APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51APCh. 41 - Prob. 52APCh. 41 - Prob. 53APCh. 41 - Prob. 54APCh. 41 - Prob. 56APCh. 41 - Prob. 57APCh. 41 - Prob. 58APCh. 41 - Prob. 59CPCh. 41 - Prob. 60CPCh. 41 - Prob. 61CPCh. 41 - Prob. 62CPCh. 41 - Prob. 63CP
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 neutron is confined in a deuterium nucleus (deuteron) of diameter 3.1 x 10-15 m. Use the energylevel calculation of a one-dimensional box to calculate the neutron’s minimum kinetic energy. What is the neutron’s minimum kinetic energy according to the uncertainty principle?arrow_forwardWhat is the radius for an electron having total energy of -3eV in the third energy level?arrow_forwarda) 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_forward
- The nucleus of a gold atom has a radius of 7.0 fm. Estimate the kinetic energy of a proton or neutron confined to a gold nucleus. Hint :Use HEISENBERG PRINCIPLE to find Linear Momentum of Neutron or Proton with uncertainity in position equals to radius 7.0 fm.arrow_forwardEstimate the lowest possible kinetic energy of neutron contained in a typical nucleus of radius 1.2x10^-15 m. Use the radius as uncertainty in position for the neutron.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
- A nanoparticle containing 6 atoms can be modeled approximately as an Einstein solid of 18 independent oscillators. The evenly spaced energy levels of each oscillator are 5e-21 J apart. Use k = 1.4e-23 J/K. When the nanoparticle's energy is in the range 5(5e-21) J to 9(5e-21) J, what is the approximate heat capacity per atom?arrow_forwardI need the answer as soon as possiblearrow_forwardAn electron is in the ground state of the tritium atom for which the nucleus consists of one proton and two neutrons. Suppose the nucleus instantaneously changes into He”, consisting of two protons and a neutron due to a nuclear reaction. What is the probability that the electron is found in the ground state of the Heion? The is sometimes called the “sudden approximation”arrow_forward
- An electron is trapped in a square well 0.50 nm across (roughly five times a typical atomic diameter). (a) Find the ground-level energy E1-IDW if the well is infinitely deep. (b) Find the energy levels if the actual well depth U0 is six times the ground-level energy found in part (a). (c) Find the wavelength of the photon emitted when the electron makes a transition from the n = 2 level to the n = 1 level. In what region of the electromagnetic spectrum does the photon wavelength lie? (d) If the electron is in the n = 1 (ground) level and absorbs a photon, what is the minimum photon energy that will free the electron from the well? In what region of the spectrum does the wavelength of this photon lie?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_forwardA typical nucleus is 10 x 10-15 m. Use the uncertainty principle to estimate the minimum momentum uncertainty for an electron in the nucleus. Repeat this calculation, assuming that the nucleus is instead a one-dimensional square well potential and find the ground state energy of an electron in that potential.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning