Solutions for UNIVERSITY PHYSICS,VOL.3 (OER)
Problem 7.1CYU:
Check Your Understanding If a=3+4i , what is the product a* a?Problem 7.2CYU:
Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in...Problem 7.3CYU:
Check Your Understanding For the particle in the example, find the probability Of locating it 0 and...Problem 7.4CYU:
Check Your Understanding A sodium atom nukes a transition from the first excited state the wound...Problem 7.5CYU:
Check Your Understanding A particle With mass m is moving along the x-axis in a given by the...Problem 7.6CYU:
Check Your Understanding Which of the following wave functions is valid wave-function solution for...Problem 7.7CYU:
Check your Understanding (a) Consider an infinite square well with wall boundaries x=0 and x=L. What...Problem 7.8CYU:
Check Your Understanding The vibrational frequency of the hydrogen iodide HI diatomic molecule is...Problem 7.9CYU:
Check Your Understanding Find the expectation value of the position for a particle in the ground...Problem 7.10CYU:
Check Your Understanding A proton with kinetic energy 1.00 eV is incident on a square potential...Problem 1CQ:
What is the physical unit of a wave function, (x,t)? What is the physical unit of the square of this...Problem 6CQ:
If the formalism of quantum mechanics is 'more exact' than that of classical mechanics, why don't we...Problem 7CQ:
Can the de Broglie wavelength of a particle be known precisely? Can the position of a particle be...Problem 10CQ:
What is the difference between a wave function (x,y,z) and a wave function (x,y,z,t) for the same...Problem 12CQ:
Explain the difference between time-dependent and independent SchrÖdinger's equations.Problem 13CQ:
Suppose a wave function is discontinuous at some point. Can this function represent a quantum state...Problem 14CQ:
Using the quantum particle in a box model, describe how the possible energies of the particle are...Problem 15CQ:
Is it possible that when we measure the energy of a quantum particle in a box, the measurement may...Problem 16CQ:
For a quantum panicle in a box, the first excited state (2) has zero value at the midpoint position...Problem 17CQ:
Is it possible to measure energy of 0.75h for a quantum harmonic oscillator? Why? Why not? Explain.Problem 18CQ:
Explain the connection between Planck's hypothesis of energy quanta and the energies of the quantum...Problem 19CQ:
If a classical harmonic oscillator can at rest, why can the quantum harmonic oscillator never be at...Problem 20CQ:
Use an example of a quantum particle in a box or a quantum oscillator to explain the physical...Problem 21CQ:
Can we simultaneously measure position and energy of a quantum oscillator? Why? Why not?Problem 22CQ:
When an electron and a proton of the same kinetic energy encounter a barrier of the same height and...Problem 23CQ:
What decreases the tunneling probability most: doubling the barrier width or halving the kinetic...Problem 25CQ:
Can a quantum particle 'escape' from an infinite potential well like that in a box? Why? Why not?Problem 26CQ:
A tunnel diode and a resonant-tunneling diode both utilize the same physics principle of quantum...Problem 29P:
Which one of the following functions, and why, qualifies to be a wave function of a particle that...Problem 30P:
A particle with mass m moving along the x-axis and its quantum state is represented by the following...Problem 31P:
A wave function of a particle with mass m is given by (x)={Acosax, 2ax+ 2a;0, otherwise where a...Problem 32P:
A velocity measurement of an a-particle has been performed with a precision of 0.02 mm/s. What is...Problem 33P:
A gas of helium atoms at 273 K is in a cubical container with 25.0 cm on a side. (a) What is the...Problem 34P:
If the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum...Problem 35P:
Some unstable elementary particle has a rest energy of 80.41 GeV and an uncertainty in rest energy...Problem 36P:
An atom in a metastable state has a lifetime of 5.2 ms. Find the minimum uncertainty in the...Problem 37P:
Measurements indicate that an atom remains in an excited state for an average time of 50.0 ns before...Problem 38P:
Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen...Problem 41P:
Show that (x,t)=Asin(kxt) and (x,t)=Acos(kxt) do not obey Schrödinger's time-dependent equation.Problem 42P:
Show that when 1(x,t) and 2(x,t) are solutions to the time-dependent Schrödinger equation and A, B...Problem 43P:
A particle with mass m is described by the following wave function: (x)=Acoskx+Bsinkx, where A, B,...Problem 44P:
Find the expectation value of the kinetic energy for the particle in the state, (x,t)=Aei(kxt). What...Problem 45P:
Find the expectation value of the square of the momentum squared for the particle in the state,...Problem 46P:
A free proton has a wave function given by (x,t)=Aei(5.021011x8.001015t) . The coefficient of x is...Problem 47P:
Assume that an electron in an atom can be treated as if it were confined to a box of width 2.0 A ....Problem 48P:
Assume that a proton in a nucleus can be treated as if it were confined to a one-dimensional of...Problem 49P:
An electron confined to a box has the ground state energy of 2.5 eV. What is the width of the box?Problem 50P:
What is the ground state energy (in eV) of a proton confined to a one-dimensional box the size of...Problem 51P:
What is the ground state energy (in eV) of an a -particle confined to a one-dimensional box the size...Problem 52P:
To excite an election in a one-dimensional box from its first excited state to its third excited...Problem 53P:
An electron confined to a box of width 0.15 nm by infinite potential energy barriers emits a photon...Problem 54P:
If the energy of the first excited state of the electron in the box is 25.0 eV, what is the width of...Problem 55P:
Suppose an electron confined to a emits photons. The longest wavelength that is registered is 500.0...Problem 56P:
Hydrogen H2 molecules are kept at 300.0 K in a cubical container with a side length of 20.0 cm....Problem 57P:
An electron is confined to a box of width 0.25 nm. (a) Draw an energy-level diagram representing the...Problem 58P:
An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b)...Problem 59P:
Show that the two lowest energy states of the simple harmonic oscillator, 0(x) and 1(x) from...Problem 60P:
If the ground state energy of a simple harmonic oscillator is 1.25 eV, what is the frequency of its...Problem 61P:
When a quantum harmonic oscillator makes a transition from the (n+1) state to the n state and emits...Problem 62P:
Vibrations of the hydrogen molecule H2 can be modeled as a simple harmonic oscillator with the...Problem 63P:
A particle with mass 0.030 kg oscillates back-and- forth on a spring with frequency 4.0 Hz. At the...Problem 64P:
Find the expectation value x2 of the square of the position for a quantum harmonic oscillator in the...Problem 65P:
Determine the expectation value of the potential energy for a quantum harmonic oscillator in the...Problem 66P:
Verify that given by Equation 7.57 is a solution of Schrödinger's equation for the quantum harmonic...Problem 67P:
Estimate the ground state energy of the quantum harmonic oscillator by Heisenberg's uncertainty...Problem 68P:
A mass of 0.250 kg oscillates on a spring with the force constant 110 N/m. Calculate the ground...Problem 69P:
Show that the wave function in (a) Equation 7.68 satisfies Equation 7.61, and (b) Equation 7.69...Problem 70P:
A 6.0-eV electron impacts on a barrier with height 11.0 eV. Find the probability of the electron to...Problem 71P:
A 5.0-eV electron impacts on a barrier of with 0.60 nm. Find the probability of the electron to...Problem 72P:
A 12.0-eV electron encounters a barrier of height 15.0 eV. If the probability of the electron...Problem 73P:
A quantum particle with initial kinetic energy 32.0 ev encounters a square barrier with height 41.0...Problem 74P:
A simple model of a radioactive nuclear decay assumes that a-particles are trapped inside a well of...Problem 75P:
A muon, a quantum particle with a mass approximately 2(X) times that of an electron, is incident on...Problem 76P:
A grain of sand with mass 1.0 mg and kinetic energy 1.0 J is incident on a potential energy barrier...Problem 77AP:
Show that if the uncertainty in the position of a particle is on the order of its de Broglie's...Problem 78AP:
The mass of a -meson is measured to be 770MeV/c2 with an uncertainty of 100MeV/c2. Estimate the...Problem 79AP:
A particle of mass m is confined to a box of width L. If the particle is in the first excited state,...Problem 80AP:
A particle in a box [0; L] is in the third excited state. What are its most probable positions?Problem 81AP:
A 0.20-kg billiard ball bounces back and forth without losing its energy between the cushions of a...Problem 82AP:
Find the expectation value of the position squared when the particle in the box is in its third...Problem 83AP:
Consider an infinite square well with wall boundaries x=0 and x=L. Show that the function (x)=Asinkx...Problem 84AP:
Consider an infinite square well with wall boundaries x=0 and x=L. Explain why the function...Problem 85AP:
Atoms in a crystal lattice vibrate in simple harmonic motion. Assuming a lattice atom has a mass of...Problem 86AP:
A diatomic molecule behaves like a quantum harmonic oscillator with the force constant 12.0 N/m and...Problem 87AP:
An electron with kinetic energy 2.0 MeV encounters a potential energy barrier of height 16.0 MeV and...Problem 88AP:
A beam of mono-energetic protons with energy 2.0 MeV falls on a potential energy barrier of height...Problem 89CP:
An electron in a long, organic molecule used in a dye laser behaves approximately like a quantum...Problem 90CP:
In STM, an elevation of the tip above the surface being scanned can be determined with a great...Problem 91CP:
If STM is to detect surface features with local heights of about 0.0200 nm, what percent change in...Problem 92CP:
Use Heisenberg's uncertainty principle to estimate the ground state energy of a particle oscillating...Browse All Chapters of This Textbook
Chapter 1 - The Nature Of LightChapter 2 - Geometric Optics And Image FormationChapter 3 - InterferenceChapter 4 - DiffractionChapter 5 - RelativityChapter 6 - Photons And Matter WavesChapter 7 - Quantum MechanicsChapter 8 - Atomic StructureChapter 9 - Condensed Matter PhysicsChapter 10 - Nuclear Physics
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More Editions of This Book
Corresponding editions of this textbook are also available below:
UNIVERSITY PHYSICS VOL.3 (OER)
17th Edition
ISBN: 9781506698250
University Physics Volume 3
17th Edition
ISBN: 9781938168185
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