University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 7, Problem 63P
A particle with mass 0.030 kg oscillates back-and- forth on a spring with frequency 4.0 Hz. At the equilibrium position, it has a speed of 0.60 m/s. If the particle is in a state of definite energy, find its energy quantum number.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and transitioning to the ground state. What is the uncertainty in the frequency of the photon in Hz?
Suppose that we do not know quantum mechanics and that the electron of a hydrogen atom behaves like a harmonic oscillator with a certain oscillation frequency f. In this model, an excited electron can therefore emit light and this has the same frequency f as the oscillating motion of the electron.It is observed that the light emitted by such an atom has a frequency of 800 Hz and the oscillating movement of the electron has an amplitude of 0,418 nm.
What is the value of the corresponding spring constant (if the electron were bound to the proton by a spring)?
Suppose that we do not know quantum mechanics and that the electron of a hydrogen atom behaves like a harmonic oscillator with a certain oscillation frequency f. In this model, an excited electron can therefore emit light and this has the same frequency f as the oscillating motion of the electron.It is observed that the light emitted by such an atom has a frequency of 800 Hz and the oscillating movement of the electron has an amplitude of 0,418 nm.
In electro-volts, what is its mechanical energy?
Chapter 7 Solutions
University Physics Volume 3
Ch. 7 - Check Your Understanding If a=3+4i , what is the...Ch. 7 - Check Your Understanding Suppose that a particle...Ch. 7 - Check Your Understanding For the particle in the...Ch. 7 - Check Your Understanding A sodium atom nukes a...Ch. 7 - Check Your Understanding A particle With mass m is...Ch. 7 - Check Your Understanding Which of the following...Ch. 7 - Check your Understanding (a) Consider an infinite...Ch. 7 - Check Your Understanding The vibrational frequency...Ch. 7 - Check Your Understanding Find the expectation...Ch. 7 - Check Your Understanding A proton with kinetic...
Ch. 7 - What is the physical unit of a wave function,...Ch. 7 - Can the magnitude of a wave function (*(x,t)(x,t))...Ch. 7 - What kind of physical quamtity does a wave...Ch. 7 - What is the physical meaning of a wave function of...Ch. 7 - What is the meaning of the expression "expectation...Ch. 7 - If the formalism of quantum mechanics is 'more...Ch. 7 - Can the de Broglie wavelength of a particle be...Ch. 7 - Can we measure the energy of a free localized...Ch. 7 - Can we measure both the position and momentum of a...Ch. 7 - What is the difference between a wave function...Ch. 7 - If a quantum particle is in a stationary state,...Ch. 7 - Explain the difference between time-dependent and...Ch. 7 - Suppose a wave function is discontinuous at some...Ch. 7 - Using the quantum particle in a box model,...Ch. 7 - Is it possible that when we measure the energy of...Ch. 7 - For a quantum panicle in a box, the first excited...Ch. 7 - Is it possible to measure energy of 0.75h for a...Ch. 7 - Explain the connection between Planck's hypothesis...Ch. 7 - If a classical harmonic oscillator can at rest,...Ch. 7 - Use an example of a quantum particle in a box or a...Ch. 7 - Can we simultaneously measure position and energy...Ch. 7 - When an electron and a proton of the same kinetic...Ch. 7 - What decreases the tunneling probability most:...Ch. 7 - Explain the difference between a box-potential and...Ch. 7 - Can a quantum particle 'escape' from an infinite...Ch. 7 - A tunnel diode and a resonant-tunneling diode both...Ch. 7 - Compute |(x,t)|2 for the function (x,t)=(x)sint,...Ch. 7 - Given the complex-valued function...Ch. 7 - Which one of the following functions, and why,...Ch. 7 - A particle with mass m moving along the x-axis and...Ch. 7 - A wave function of a particle with mass m is given...Ch. 7 - A velocity measurement of an a-particle has been...Ch. 7 - A gas of helium atoms at 273 K is in a cubical...Ch. 7 - If the uncertainty in the y -component of a...Ch. 7 - Some unstable elementary particle has a rest...Ch. 7 - An atom in a metastable state has a lifetime of...Ch. 7 - Measurements indicate that an atom remains in an...Ch. 7 - Suppose an electron is confined to a region of...Ch. 7 - Combine Equation 7.17 and Equation 7.18 to show...Ch. 7 - Show that (x,t)=Aei(kwt) is a valid solution to...Ch. 7 - Show that (x,t)=Asin(kxt) and (x,t)=Acos(kxt) do...Ch. 7 - Show that when 1(x,t) and 2(x,t) are solutions to...Ch. 7 - A particle with mass m is described by the...Ch. 7 - Find the expectation value of the kinetic energy...Ch. 7 - Find the expectation value of the square of the...Ch. 7 - A free proton has a wave function given by...Ch. 7 - Assume that an electron in an atom can be treated...Ch. 7 - Assume that a proton in a nucleus can be treated...Ch. 7 - An electron confined to a box has the ground state...Ch. 7 - What is the ground state energy (in eV) of a...Ch. 7 - What is the ground state energy (in eV) of an a...Ch. 7 - To excite an election in a one-dimensional box...Ch. 7 - An electron confined to a box of width 0.15 nm by...Ch. 7 - If the energy of the first excited state of the...Ch. 7 - Suppose an electron confined to a emits photons....Ch. 7 - Hydrogen H2 molecules are kept at 300.0 K in a...Ch. 7 - An electron is confined to a box of width 0.25 nm....Ch. 7 - An electron in a box is in the ground state with...Ch. 7 - Show that the two lowest energy states of the...Ch. 7 - If the ground state energy of a simple harmonic...Ch. 7 - When a quantum harmonic oscillator makes a...Ch. 7 - Vibrations of the hydrogen molecule H2 can be...Ch. 7 - A particle with mass 0.030 kg oscillates back-and-...Ch. 7 - Find the expectation value x2 of the square of the...Ch. 7 - Determine the expectation value of the potential...Ch. 7 - Verify that given by Equation 7.57 is a solution...Ch. 7 - Estimate the ground state energy of the quantum...Ch. 7 - A mass of 0.250 kg oscillates on a spring with the...Ch. 7 - Show that the wave function in (a) Equation 7.68...Ch. 7 - A 6.0-eV electron impacts on a barrier with height...Ch. 7 - A 5.0-eV electron impacts on a barrier of with...Ch. 7 - A 12.0-eV electron encounters a barrier of height...Ch. 7 - A quantum particle with initial kinetic energy...Ch. 7 - A simple model of a radioactive nuclear decay...Ch. 7 - A muon, a quantum particle with a mass...Ch. 7 - A grain of sand with mass 1.0 mg and kinetic...Ch. 7 - Show that if the uncertainty in the position of a...Ch. 7 - The mass of a -meson is measured to be 770MeV/c2...Ch. 7 - A particle of mass m is confined to a box of width...Ch. 7 - A particle in a box [0; L] is in the third excited...Ch. 7 - A 0.20-kg billiard ball bounces back and forth...Ch. 7 - Find the expectation value of the position squared...Ch. 7 - Consider an infinite square well with wall...Ch. 7 - Consider an infinite square well with wall...Ch. 7 - Atoms in a crystal lattice vibrate in simple...Ch. 7 - A diatomic molecule behaves like a quantum...Ch. 7 - An electron with kinetic energy 2.0 MeV encounters...Ch. 7 - A beam of mono-energetic protons with energy 2.0...Ch. 7 - An electron in a long, organic molecule used in a...Ch. 7 - In STM, an elevation of the tip above the surface...Ch. 7 - If STM is to detect surface features with local...Ch. 7 - Use Heisenberg's uncertainty principle to estimate...Ch. 7 - Suppose an infinite square well extends from L/2...Ch. 7 - A particle of mass m confined to a box of width L...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Given the end results of the two types of division, why is it necessary for homologs to pair during meiosis and...
Concepts of Genetics (12th Edition)
Match each of the following items with all the terms it applies to:
Human Physiology: An Integrated Approach (8th Edition)
1. Why is the quantum-mechanical model of the atom important for understanding chemistry?
Chemistry: Structure and Properties (2nd Edition)
15.1 What purpose do the bla and lacZ genes serve in the plasmid vector ?
Genetic Analysis: An Integrated Approach (3rd Edition)
Answer the following questions for each compound: a. How many signals are in its 13C NMR spectrum? b. Which sig...
Organic Chemistry (8th Edition)
2. Define equilibrium population. Outline the conditions that must be met for a population to stay in genetic e...
Biology: Life on Earth (11th Edition)
Knowledge Booster
Similar questions
- The natural frequency of a molecule of hydrochloric acid is 8.4 x 1013 Hz. What is the difference in energy between successive values in oscillation energy? Answer is ev.arrow_forwardQuestion 12/ 13 An electron mnoves in a straight line with constant speed y= 1.1 x10" m's which has been measured with precision of 0.10%. What is the maximum possible precision in which its position could be measured? (h= 6.62 x 10 34 m kg /s; m= 9.11 x 10 31 kg)arrow_forwardThe two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart. The mass of the carbon atom is 1.993x10-26 kg. The mass of the oxygen atom is 2.656x10-26 kg. Spectroscopic measurements show that adjacent vibrational energy levels for the CO molecule are 0.269 eV. What is the effective spring constant of the CO molecule? (Give your answer in N/m.)arrow_forward
- The first sixteen values of a function f(x) are given in the table below. f(z) -0.08 1 1.314 2 2.03 3 1.434 4 0.04 -1.454 6 -1.94 7 -1.374 8 0.04 9 1.344 10 1.98 11 1.314 12 0.1 13 -1.474 14 -2.08 15 -1.404 What is the approximate period of the function? What is the approximate amplitude of the function? Use the previous to give a sine function which models the data f(x) = sin X).arrow_forwardIn 2019, the International Committee for Weights and Measures adopted a new set of definitions for the fundamental units of the SI system. The three important base units in classical mechanics are the unit of time (s), the unit of length (m), and the unit of mass (kg). These three units are derived from three physical constants in the new SI system: Quantity Symbol Units Transition Frequency of Cesium 133 Av s-1 kg - m?/s m/s Planck's Constant h Speed of Light Use dimensional analysis to determine the combination of these three parameters that will define the base units of the SI system. (a) What combination of h, c, and Av defines a second? (b) What combination of h, c, and Av defines a meter? (c) What combination of h, c, and Av defines a kilogram? You only need to find the combination of h, c, and Av that has the right units. Your answer should not involve any numerical values.arrow_forward8. Classical Mechanics. The differential equation for the velocity v of an object of mass m, restricted to vertical motion and subject only to the forces of gravity and air resistance, is dv (1) m -mg - yv. dt In Eq. (i) we assume that the drag force, -yu where y> 0 is a drag coefficient, is proportional to the velocity. Acceleration due to gravity is denoted by g. Assume that the upward direction is positive. (a) Show that the solution of Eq. (i) subject to the initial condition v(0) = vo is mg mg V= vo + mo) e e-rt/m Y (b) Sketch some integral curves, including the equilibrium solution, for Eq. (i). Explain the physical significance of the equilibrium solution. (c) If a ball is initially thrown in the upward direction so that vo > 0, show that it reaches its maximum height when m Yvo t = tmax (1 + Y mg -Inarrow_forward
- Quantum Physicsarrow_forwardA potential well has 4 energy levels as given here: Energy of the state (eV) 13 12 9 4 Suppose that there are three electrons in the well, and that the system is in the first excited state. If the system emits a photon, what energy could the photon have? O (a) 3 eV Ⓒ (b) 5 eV O (c) 4 eV O (d) 8 eV (e) 9 eV x X 0%arrow_forwardAn electron with mass 9.11 x 10^-31 kg is undergoing simple harmonic motion as it orbits around a Hydrogen nucleus with a frequency 7 x 10^15 Hz and amplitude of 5.3 x 10-11 m. Calculate the a) Period of the oscillationb) Angular velocityc) Maximum velocityd) Maximum accelerationd) Maximum force acting on the objecte) Maximum potential energy of the object (assume no energy loss)arrow_forward
- P17.5 Another important uncertainty principle is encountered in time-dependent systems. It relates the lifetime of a state At with the measured spread in the photon energy AE associated with the decay of this state to a stationary state of the system. "Derive" the relation AE At ≥ h/2 in the following steps. a. Starting from E = p/2m and AE = (dE/dpx)^px, Vx Apx. show that AE = b. Using vx = Ax/At, show that AE At = ApxAx ≥ h/2. c. Estimate the width of a spectral line originating from the decay of a state of lifetime 1.0 × 10s and 1.0 × 10-¹¹ s in inverse seconds and inverse centimeters.arrow_forwardQuantum Mechanics, physical chemistry. Screenschot of question attached. For this question, assume the atoms have average atomic masses. Actual molecules will have different isotopes so variation in energy levels will result from different isotopes.arrow_forwardA nitrogen molecule (N2) vibrates with energy identical to a single particle of mass m = 1.162 x 10-26 kg attached to a spring with a force constant of k = 1500 N/m. Suppose the energy levels of the system are uniformly spaced as shown in the figure below. The lowest energy level is often called the “ground state” and is assigned an integer value n = 1. The next higher energy level is often called the “first excited state” and is assigned an integer value n =2. (1) What is the vibration frequency of this molecule? (2) How much energy is required to excite the molecule from the ground state (n = 1) to the first excited state (n = 2)? (3) How much energy is required to excite the molecule from the first excited state (n = 2) to the state n = 5?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
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
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning