University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 44CQ
What is the wavelength of a neutron at rest? Explain.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 6 Solutions
University Physics Volume 3
Ch. 6 - Check Your Understanding The flame of a...Ch. 6 - Check Your Understanding An iron poker is being...Ch. 6 - Check Your Understanding Suppose that two stars, ...Ch. 6 - Check Your Understanding A molecule is vibrating...Ch. 6 - Check Your Understanding Would the result in...Ch. 6 - Check Your Understanding A yellow 589-nm light is...Ch. 6 - Check Your Understanding Cut-off frequency for the...Ch. 6 - Check Your Understanding An incident 71-pm X-ray...Ch. 6 - Check Your Understanding What are the limits of...Ch. 6 - Check Your Understanding When an election in a...
Ch. 6 - Check Your Understanding What is de Broglie’s...Ch. 6 - Check Your Understanding Find the de Broglie...Ch. 6 - Check Your Understanding Find the de Brogue...Ch. 6 - Check Your Understanding For the situation...Ch. 6 - Check Your Understanding Suppose that the diameter...Ch. 6 - Which surface has a higher temperature — the...Ch. 6 - Describe what you would see when looking at a body...Ch. 6 - Explain the color changes in a hot body as its...Ch. 6 - Speculate as to why UV light causes sunburn,...Ch. 6 - Two cavity radiators are constructed with walls...Ch. 6 - Discuss why some bodies appear black, other bodies...Ch. 6 - If everything radiates electromagnetic energy, why...Ch. 6 - How much does the power radiated by a blackbody...Ch. 6 - For the same monochromatic light source, would the...Ch. 6 - In the interpretation of the photoelectric effect,...Ch. 6 - Explain how you can determine the work function...Ch. 6 - Suppose that in the photoelectric-effect...Ch. 6 - Speculate how increasing the temperature of a...Ch. 6 - Which aspects of the photoelectric effect cannot...Ch. 6 - Is the photoelectric effect a consequence of the...Ch. 6 - The metals sodium, iron, and molybdenum have work...Ch. 6 - Discuss any similarities and differences between...Ch. 6 - Which has a greater momentum: an UV photon or an...Ch. 6 - Does changing the intensity of a monochromatic...Ch. 6 - Can the Compton effect occur with visible light?...Ch. 6 - Is it possible in the Compton experiment to...Ch. 6 - Show that the Compton wavelength has the dimension...Ch. 6 - At what scattering angle is the wavelength shift...Ch. 6 - Explain why the patterns of bright emission...Ch. 6 - Do the various spectral lines of the hydrogen atom...Ch. 6 - The Balmer series for hydrogen was discovered...Ch. 6 - When the absorption spectrum of hydrogen at room...Ch. 6 - Hydrogen accounts for about 75% by mass of the...Ch. 6 - Discuss the similarities and differences between...Ch. 6 - Discuss the way in which Thomson’s model is...Ch. 6 - If, in a hydrogen atom, an electron moves to an...Ch. 6 - How is the energy conserved when an atom makes a...Ch. 6 - Suppose an electron in a hydrogen atom makes a...Ch. 6 - Discuss why the allowed energies of the hydrogen...Ch. 6 - Can a hydrogen atom absorb a photon whose energy...Ch. 6 - Why can you see through glass but not through...Ch. 6 - Do gravitational forces have a significant effect...Ch. 6 - Show that Planck’s constant has the dimensions of...Ch. 6 - Which type of radiation is most suitable for the...Ch. 6 - Speculate as to how the diffraction patterns of a...Ch. 6 - If an electron and a proton are traveling at the...Ch. 6 - If a particle is accelerating, how does this...Ch. 6 - Why is the wave-like nature of matter not observed...Ch. 6 - What is the wavelength of a neutron at rest?...Ch. 6 - Why does the setup of Davisson—Germer experiment...Ch. 6 - Give an example of an experiment in which light...Ch. 6 - Discuss: How does the interference of water waves...Ch. 6 - Give at least one argument in support of the...Ch. 6 - Give at least one argument in support of the...Ch. 6 - Explain the importance of the Young double-slit...Ch. 6 - Does the Heisenberg uncertainty principle allow a...Ch. 6 - Can the de Brogue wavelength of a particle be...Ch. 6 - Do the photons of red light produce better...Ch. 6 - Discuss the main difference between an SEM and a...Ch. 6 - A 200-W heater emits a 1.5-m radiation. 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(b)...Ch. 6 - Show that p=h and Ef=hf are consistent with the...Ch. 6 - Show that the energy E in eV of a photon is given...Ch. 6 - For collisions with free electrons, compare the...Ch. 6 - X-rays of wavelength 12.3 pm are scattered from a...Ch. 6 - Calculate the wavelength of the first line in the...Ch. 6 - Calculate the wavelength of the fifth line in the...Ch. 6 - Calculate the energy changes corresponding to the...Ch. 6 - Determine the wavelength of the third Balmer line...Ch. 6 - What is the frequency of the photon absorbed when...Ch. 6 - When a hydrogen atom is in its ground state, what...Ch. 6 - When a hydrogen atom is in its third excided...Ch. 6 - What is the longest wavelength that light can have...Ch. 6 - For an electron in a hydrogen atom in the n=2...Ch. 6 - Find the ionization energy of a hydrogen atom in...Ch. 6 - It has been measured that it required 0.850 eV to...Ch. 6 - What is the radius of a hydrogen atom when the...Ch. 6 - Find the shortest wavelength in the Balmer series....Ch. 6 - Show that the entire Paschen series lies in the...Ch. 6 - Do the Balmer series and the Lyman series overlap?...Ch. 6 - (a) Which line in the Balmer series is the first...Ch. 6 - A 4.653-urn emission line of atomic hydrogen...Ch. 6 - At what velocity will an electron have a...Ch. 6 - What is the de Brogue wavelength of an electron...Ch. 6 - What is the de Brogue wavelength of an electron...Ch. 6 - What is the de Brogue wavelength of a proton whose...Ch. 6 - What is the de Brogue wavelength of a 10-kg...Ch. 6 - (a) What is the energy of an electron whose de...Ch. 6 - The de Brogue wavelength of a neutron is 0.01 nm....Ch. 6 - What is the wavelength of an electron that is...Ch. 6 - At what velocity does a proton have a 6.0-fm...Ch. 6 - What is the velocity of a 0.400-kg billiard ball...Ch. 6 - Find the wavelength of a proton that is moving at...Ch. 6 - An AM radio transmitter radiates 500 kW at a...Ch. 6 - Find the Lorentz factor and de Brogue’s...Ch. 6 - Find the Lorentz factor and de Brogue’s...Ch. 6 - What is the kinetic energy of a 0.01-nm electron...Ch. 6 - If electron is to be diffracted significantly by a...Ch. 6 - X-rays form ionizing radiation that is dangerous...Ch. 6 - Solar wind (radiation) that is incident on the top...Ch. 6 - Treat the human body as a blackbody and determine...Ch. 6 - Show that Wien’s displacement law results from...Ch. 6 - Show that Stefan’s law results from Planck’s...Ch. 6 - Determine the power intensity of radiation per...Ch. 6 - The HC1 molecule oscillates at a frequency of 87.0...Ch. 6 - A quantum mechanical oscillator vibrates at a...Ch. 6 - In about 5 billion years, the sun will evolve to a...Ch. 6 - A sodium lamp emits 2.0 W of radiant energy, most...Ch. 6 - Photoelectrons are ejected from a photo electrode...Ch. 6 - If the work function of a metal is 3.2 eV, what is...Ch. 6 - The work function of a photoelectric surface is...Ch. 6 - A 400-nm laser beam is projected onto a calcium...Ch. 6 - (a) Calculate the number of photoelectrons per...Ch. 6 - A laser with a power output of 2.00 mW at a 400-nm...Ch. 6 - The work function for barium is 2.48 eV. 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(b)...Ch. 6 - Experiments are performed with ultracold neutrons...Ch. 6 - Find the velocity and kinetic energy of a 6.0-fm...Ch. 6 - The spacing between crystalline planes in the NaC1...Ch. 6 - What is the wavelength of an electron accelerated...Ch. 6 - Calculate the velocity of a 1.0-m electron and a...Ch. 6 - In a supercollider at CERN, protons are...Ch. 6 - Find the de Brogue wavelength of an electron...Ch. 6 - The cutoff wavelength for the emission of...Ch. 6 - Compare the wavelength shift of a photon scattered...Ch. 6 - The spectrometer used to measure the wavelengths...Ch. 6 - Consider a hydrogen-like ion where an electron is...Ch. 6 - Assume that a hydrogen atom exists in the n=2...Ch. 6 - An atom can be formed when a negative muon is...
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