MODERN PHYSICS (LOOSELEAF)
4th Edition
ISBN: 9781119495550
Author: Krane
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 6P
To determine
The minimum energy of the neutron.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
If the energy levels of an oscillator are given by z,nhv, where n= 0, 1 and 2. Assuming that
B= 1/hv, the probability of the oscillator to occupy the third energy level is:
A. 13%
В. 19%
с. 31%
D. 51%
E. 91%
A
C
D
E
One of the bound states of positronium has a lifetime given in natural units by
T = 2/mas where m is the mass of the electron and a is the fine structure con-
stant. Using dimensional arguments introduce the factors ħ and c and determine
T in seconds.
A neutron with a potential energy of U = 0 is represented by the wave function y = Ae'(kx – ot) where k = 5.23 × 1010 m-1.
(a) What is the momentum (in kg · m/s) of the neutron?
kg • m/s
(b) What is the kinetic energy (in eV) of the neutron?
ev
(c) We wish to verify if the given wave function is a solution to Schrödinger's equation. To do this, calculate the following. (Use the following as necessary: k, w, x, t and A. Do not substitute
numerical values; use variables only.)
dự
dx
d?w
dx2
Substitute the above two results into Schrödinger's equation and solve for the energy of the particle. (Use the following as necessary: h, k, m, w, x, t and A. Do not substitute numerical values;
use variables only.)
E =
Calculate the energy (in eV) of the neutron.
ev
Chapter 5 Solutions
MODERN PHYSICS (LOOSELEAF)
Knowledge Booster
Similar questions
- When a particle of mass 9.1 × 10^-28 g in a certain one- dimensional box goes from the n = 5 level to the n = 2 level, it emits a photon of frequency 6.0 × 10^16 /s . Find the length of the box.arrow_forwardIn solid helium the spacing between atoms is about 3Å . Helium contains 2 protons and 2 neutrons, so the mass of a helium atom is 6.6×10−27 kg. What is the smallest possible energy of a helium atom in solid helium? What temperature (in Kelvin) does this energy correspond with? (Boltzmann's constant is kb=1.38×10−23 J/Karrow_forwardAssume 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 MeVarrow_forward
- The value of R᷉∞ is given inside the front cover and is 109 737 cm−1. What is the energy of the ground state of a deuterium atom? Take mD = 2.013 55mu.arrow_forwardWhat are the approximate energies (in keV) of the K and K x rays for scandium? Ka 6 × kev kevarrow_forwardA certain helium ion (Z = 2) contains a single excited electron in the n = 3 quantum state. When this excited electron decays back to its ground state, what is the energy of the emitted photon? Enter the numerical value in units of eV.arrow_forward
- normalise the ground state of the quantum harmonic oscillator that you found in by calculating the value of c, for an alpha particle with a mass of 6.645 * 10 ^-27 kg and frequency of3.17 * 10^-8 hz u(x) = Ce ^-(mwx^2/2h)arrow_forwardA proton is fired from very far away towards a nucleus with charge Q = 120 e, where e is the electronic charge. It makes a closest approach of 10 fm to the nucleus. The de-Broglie wavelength (in units of fm) of the proton at its start is [Take the proton mass, mp = (5/3)× 10-²7 kg; h/e= 4.2 × 10-¹5 р J-s/C: 1 ATTEO = 9× 10⁹ m/F; 1 fm = 10-¹5 m] (2013 Adv.)arrow_forwardAlpha particles of kinetic energy 5.4 MeV are incident at a rate of 3.2 x 107 per second on a copper foil of thickness 3.2 x 10-6 m. A circular detector of diameter 1.0 cm is placed 13 cm 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 g/mol and its density is 8.9 g/cm³.) Additional Materials Bookarrow_forward
- What is the energy of H2 trapped in a zeolite, which can be modeled by a particle in a cube given nX = 10, nY = 10, nZ = 10 and LX = LY = LZ = 10−9 m.arrow_forwardX rays with a wavelength of 71 pm are directed onto a gold foil and eject tightly bound electrons from the gold atoms.The ejected electrons then move in circular paths of radius r in a region of uniform magnetic field . For the fastest of the ejected electrons, the product Br is equal to 1.88 * 10-4 T.m. Find (a) the maximum kinetic energy of those electrons and (b) the work done in removing them from the gold atoms.arrow_forwardA nucleus emits a gamma ray of energy 1.0 MeV from a state that has a lifetime of 1.2 ns. What is the uncertainty in the energy of the gamma ray?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning