University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 105P
A 4.653-urn emission line of atomic hydrogen corresponds to transition between the states
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Determine the most probable distance from the nucleus for an electron in the 2p orbital of a hydrogen atom. The radial
wavefunction, Rµ1 (r), for the 2p orbital is given by
1
R2.1 (r) =
Zr
2a0
e
2 V6 \ ao
ao
Give
your answer in terms of ao.
r =
ao
a) Calculate the excitation energies for the 1s → 3p electron transition for the H-atom
and for the He+-ion. Calculate the energy values in joules.
b) What is the ionization energy (in eV) of H-atom in the 4d-state?
Note: En
=
2n²
Eh, 1Eh
= 27.2114eV =
2625.500kJ/mol = 4.35974394-10-18 J
Hydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s
electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ).
a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when
magnetic field is zero?
b) What is a magnetic moment of the atom with its electron initially in s state and in p state?
c) What is the wavelength change for the transition from p- to s- if magnetic field is turned on?
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. (a) What...Ch. 6 - A 900-W microwave generator in an oven generates...Ch. 6 - (a) For what temperature is the peak of blackbody...Ch. 6 - The tungsten elements of incandescent light bulbs...Ch. 6 - Interstellar space is filled with radiation of...Ch. 6 - The radiant energy from the sun reaches its...Ch. 6 - A photon has energy 20 keV. What are its frequency...Ch. 6 - The wavelengths of visible light range from...Ch. 6 - What is the longest wavelength of radiation that...Ch. 6 - What is the longest wavelength of radiation that...Ch. 6 - Estimate the binding energy of electrons in...Ch. 6 - The work function for potassium is 2.26 eV. What...Ch. 6 - Estimate the work function of aluminum, given that...Ch. 6 - What is the maximum kinetic energy of...Ch. 6 - A 120-nm UV radiation illuminates a gold-plated...Ch. 6 - A 400-nm violet light ejects photoelectrons with a...Ch. 6 - A 600-nm light falls on a photoelectric surface...Ch. 6 - The cutoff wavelength for the emission of...Ch. 6 - Find the wavelength of radiation that can eject...Ch. 6 - Find the wavelength of radiation that can eject...Ch. 6 - Find the maximum velocity of photoelectrons...Ch. 6 - What is the momentum of a 589-nm yellow photon?Ch. 6 - What is the momentum of a 4-cm microwave photon?Ch. 6 - In a beam of white light (wavelengths from 400 to...Ch. 6 - What is the energy of a photon whose momentum is...Ch. 6 - What is the wavelength of (a) a 12-keV X-ray...Ch. 6 - Find the momentum and energy of a 1.0-Å photon.Ch. 6 - Find the wavelength and energy of a photon with...Ch. 6 - A -ray photon has a momentum of 8.001021 kg •...Ch. 6 - (a) Calculate the momentum of a 2.5-pm photon. (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. Find the...Ch. 6 - (a) Calculate the wavelength of a photon that has...Ch. 6 - (a) Find the momentum of a 100-keV X-ray photon....Ch. 6 - The momentum of light, as it is for particles, is...Ch. 6 - A photon of energy 5.0 keV collides with a...Ch. 6 - A 0.75-nm photon is scattered by a stationary...Ch. 6 - Find the maximum change in X-ray wavelength that...Ch. 6 - A photon of wavelength 700 nm is incident on a...Ch. 6 - What is the maximum kinetic energy of an electron...Ch. 6 - Singly ionized atomic helium He +1 is a...Ch. 6 - A triply ionized atom of betyllium Be3+ is a...Ch. 6 - In extreme-temperature environments, such as those...Ch. 6 - (a) Calculate the ionization energy for He+. (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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