College Physics, Volume 1
11th Edition
ISBN: 9781337653329
Author: Raymond A. Serway; Chris Vuille
Publisher: Cengage Learning US
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 27, Problem 34P
(a)
To determine
The expression for the momentum of the particle.
(b)
To determine
The expression for the de Broglie wavelength.
(c)
To determine
An electron or proton, which will have a shorter wavelength.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A) Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one six hundredth of the speed of light (c/600).
(Enter at least 4 significant figures.)
B) Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 230.1 pm.
A photon with wavelength X scatters off an electron at rest, at an angle with the incident direction.
The Compton wavelength of the electron Ac = 0.0024 nm.
a)
For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in
nanometres.
b)
Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants
h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables
only. (Please enter an algebraic expression using latex format; do not input any numerical values)
c)
Using the energy conservation condition, find the value of the electron energy Ee after scattering in
units of keV.
d)
Write an algebraic expression for the electron's momentum pe in
terms of its energy Ee, its mass me and the speed of light c.
e)
What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee,
me, and X and c.
f)
Find the value of the de Broglie wavelength of the scattered electron…
The smallest atoms can themselves exhibit quantum mechanical behavior
Calculate the de Broglie wavelength (in picometers) of a hydrogen atom traveling at 430 m/sm/s.
Express your answer using three significant figures.
Chapter 27 Solutions
College Physics, Volume 1
Ch. 27.5 - Prob. 27.1QQCh. 27.5 - Prob. 27.2QQCh. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQ
Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 9CQCh. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - Prob. 13CQCh. 27 - Prob. 14CQCh. 27 - Prob. 15CQCh. 27 - Prob. 16CQCh. 27 - Prob. 1PCh. 27 - Prob. 2PCh. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - Prob. 40PCh. 27 - Prob. 41APCh. 27 - Prob. 42APCh. 27 - Prob. 43APCh. 27 - Prob. 44APCh. 27 - Prob. 45APCh. 27 - Prob. 46APCh. 27 - Prob. 47APCh. 27 - Prob. 48APCh. 27 - Prob. 49APCh. 27 - Prob. 50APCh. 27 - Prob. 51APCh. 27 - Prob. 52AP
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
- What is the de Brogue wavelength of an electron that is accelerated from rest through a potential difference of 20 keV?arrow_forwardIn a beam of white light (wavelengths from 400 to 750 nm), what range of momentum can the photons have?arrow_forwardA 600-nm light falls on a photoelectric surface and electrons with the maximum kinetic energy of 0.17 eV are emitted. Determine (a) the work function and (b) the cutoff frequency of the surface. (c) What is the stopping potential when the surface is illuminated with light of wavelength 400 nm?arrow_forward
- Calculate the de Broglie wavelength of(a) a 50.0 kg woman jogging leisurely at 2.0 m/s,(b) a free electron with kinetic energy 2.0 MeV, and(c) a free electron with kinetic energy 20 eV.Use the proper relativistic expression when necessary.arrow_forwardAn electron and a 5.20 kg bowling ball each have 4.55 eV of kinetic energy. HINT (a) Calculate e, the de Broglie wavelength of the electron (in m). (b) Calculate 1p, the de Broglie wavelength of the bowling ball (in m). m (c) Calculate the wavelength i, of a 4.55 eV photon (in m). marrow_forwardIn a Compton scattering experiment, an x-ray photon scatters through an angle of 22.6° from a free electron that is initially at rest. The electron recoils with a speed of 1,720 km/s. (a) Calculate the wavelength of the incident photon. nm (b) Calculate the angle through which the electron scatters. Oarrow_forward
- A relativistic electron has a de Broglie wavelength of 2.45 pm2.45 pm (1 pm=10−12 m).(1 pm=10−12 m). Determine its velocity, expressed as a fraction of the speed of light ?.arrow_forwardA proton and an electron are accelerated from rest through the same potential difference V. What is the ratio of the de Broglie wavelength of an electron to that of a proton (to two significant figures)?arrow_forwardA photon of frequency f undergoes Compton scattering from an electron at rest and scatters through an angle f. The frequency of the scattered photon is f′. How is f′ related to f ? Does your answer depend on f? Explain.arrow_forward
- Starting from rest, an electron accelerates through a potential difference of 49 V. What is its de Broglie wavelength? ( h = 6.63 × 10 −34 J ⋅s, m e = 9.11 × 10 −31 kg, and 1 eV = 1.60 × 10 −19 J)arrow_forwardWPS Office ASSIGNMENT 2.pdf + Sign in O Go Premium = Menu v Home Insert Comment Edit Page Protect Tools 1. The photoelectric threshold wavelength of a tungsten surface is 270 nm. Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 x 1015 Hz. K 2. What would the min. work function for a metal have to be for visible light (380–750 nm) to eject photoelectrons? B 3. The cathode-ray tubes that generated the picture in early color televisions were sources of X-rays. If the acceleration voltage in a television tube is 15 kV, what are the shortest- wavelength x-rays produced by the television? 4. (a) What is the minimum potential difference between the filament and the target of an x- ray tube if the tube is to produce x-rays with a wavelength of 0.16 nm? (b) What is the shortest wavelength produced in an x-ray tube operated at 30 kV? 3E 5. A laser produces light of wavelength 620 nm in an ultrashort pulse.…arrow_forwardThrough what potential difference ΔVΔV must electrons be accelerated (from rest) so that they will have the same wavelength as an x-ray of wavelength 0.130 nmnm? Use 6.626×10−34 J⋅sJ⋅s for Planck's constant, 9.109×10−31 kgkg for the mass of an electron, and 1.602×10−19 CC for the charge on an electron. Express your answer using three significant figures. =89.0 V Through what potential difference ΔVΔV must electrons be accelerated so they will have the same energy as the x-ray in Part A? Use 6.626×10−34 J⋅sJ⋅s for Planck's constant, 3.00×108 m/sm/s for the speed of light in a vacuum, and 1.602×10−19 CC for the charge on an electron. Express your answer using three significant figures. Second question is what I need help on! Thanks!arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity 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 TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning