Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 41, Problem 45AP
(a)
To determine
The atomic diameters of the aluminum and uranium.
(b)
To determine
What would happens to the wave functions for higher
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Question 3: Consider electron and vibrational (nuclear) dynamics of a metal cluster that consists of Au-
S bonds. The cluster is spherical, with spatial confinement of one nanometer. If the cluster is excited
using 800-nm, how long would it take for an electron to move one nanometer (i.e. across the cluster)?
How long would it take for one of the sulfur atoms to move the same distance?
(a) Compute the escape speed of a particle from the Earth’s surface. Earth’s radius is 6378 km, and its mass is 5.98 x 1024 kg. (b) Find the mean speed for a helium atom at a temperature of 293 K. (c) Comment on the fact that your answer to (b) is less than the answer to (a). Why then does helium not remain in the atmosphere in signifi cant quantities?
Consider an object containing 6 one-dimensional oscillators (this object could represent a model of 2 atoms in an Einstein solid). There are 4 quanta of vibrational energy in the object.
(a) How many microstates are there, all with the same energy?
(b) If you examined a collection of 38000 objects of this kind, each containing 4 quanta of energy, about how many of these objects would you expect to find in the microstate 000004?
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
Knowledge Booster
Similar questions
- A NaCl molecule oscillates with a frequency of 1.1 ✕ 1013 Hz. (a)What is the difference in energy in eV between allowed oscillator states? (b)What is the approximate value of n for a state having an energy of 1.2 eV? (Give your answer to the nearest integer.)arrow_forwarda) An electron and a 0.0500 kg bullet each have a velocity of magnitude 460 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, traveling at 350c measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.)arrow_forwardStarting from the N(p) expression of a 3D conductor, derive an expression for the exact density of states D(E) for the 3D conductor in the below graph (You have to show all the steps that lead to your final answer). The length of the conductor is given as L = 20 nm and the diameter is given as D= 4 nm. The +E.. 2mo energy momentum relationship is given as: E =arrow_forward
- We can approximate an electron moving in a nanowire (a small, thin wire) as a one-dimensional infi nite square-well potential. Let the wire be 2.0 μm long. The nanowire is cooled to a temperature of 13 K, and we assume the electron’s average kinetic energy is that of gas molecules at this temperature ( 3kT/2). (a) What are the three lowest possible energy levels of the electrons? (b) What is the approximate quantum number of electrons moving in the wire?arrow_forwardSuppose the fractional efficiency of a cesium surface (with work function 1.80 eV) is 1.0 * 10-16; that is, on average one electron is ejected for every 1016 photons that reach the surface.What would be the current of electrons ejected from such a surface if it were illuminated with 600 nm light from a 2.00 mW laser and all the ejected electrons took part in the charge flow?arrow_forwardA single electron of mass m can move freely along a one-dimensionl gold nanowire. Let x be the position coordinate of the electron along the wire. (a) Let ø (x) be the wave function of the electron. The quantity |ø (x)| has dimensions of inverse length. Explain very briefly the meaning of this quantity as a probability density. (b) Let us assume that $ (x) = A sin (3kox) (2) where A and ko are fixed, positive constants. Establish whether this wave function represents an eigenstate of momentum p. Justify your answer. Hint: the momentum operator is p -ih. - (c) Establish whether the wave function (x) given in Eq. (2) represents an eigenstate of kinetic energy K. Justify your answer. Hint: the kinetic energy operator is K = p²/2m. (d) Let us now assume that the gold nanowire mentioned above is not infinite, but extends over a finite length from r= 0 to x = L. Inside this region, the potential energy of the electron is zero, but outside this region the potential energy is infinite…arrow_forward
- Consider a particle moving in a one-dimensional box with walls at x = -L/2 and L/2. (a) Write the wavefunction and probability density for the state n=1. (b) If the particle has a potential barrier at x =0 to x = L/4 (where L = 10 angstroms) with a height of 10.0 eV, what would be the transmission probability of the electrons at the n = 1 state? (c) Compare the energy of the particle at the n= 1 state to the energy of the oscillator at its first excited state.arrow_forward475 cm /volt-s, and E, = 1.1 eV, 6? Given these data for Si: 4, = 1350 cm/volt-s, H calculate the following. a) The lifetimes for the electron and for the hole. b) The intrinsic conductivity a at room temperature. c) The temperature dependence of o, assuming that electron collision is dominated by phonon scattering, and plot log o versus 1/T. %3D 7. Repeat Problem 6 for Ge, using Tables 6 L and 6 ?arrow_forwardChapter 38, Problem 071 For the arrangement of Figure (a) and Figure (b), electrons in the incident beam in region 1 have energy E has a height of U1 = 823 ev and the potential step = 617 ev. What is the angular wave number in (a) region 1 and (b) region 2? (c) What is the reflection coefficient? (d) If the incident beam sends 5.29 x 105 electrons against the potential step, approximately how many will be reflected? V= 0 V< 0 x = 0 region 1 region 2 (a) Energy --E- Electron (b)arrow_forward
- Photons released by nuclear decays tend to be in the MeV range, and atomic nuclei are a few femtometers (10-15 m) across. If a single proton trapped in an inescapable rectangular box releases a 1.3 MeV photon when dropping from the n = 2 to the n = 1 state, how wide is the box, in femtometers? You should find that this quick and dirty estimate is remarkably close to the real size of a nucleus! The proton mass is about 1.7 x 10-27 kg. 1 MeV = 1.6 x 10-13 J. Planck's constant is approximately h = 6.6 x 10-34 J s.arrow_forwardI have N distinguishable and identical particles. There are two energy levels, 0 and > 0. The energy level & has degeneracy 2 and the lower level is non-degenerate. The total energy of the system is E. Find the occupation numbers n using microcanonical ensemble, in terms of temperature. (The n is quanta of energy for the upper level and n is the quanta of energy for the lower level). e-Be 1+eB -BE 2e-Be 1-2e-BE e-BE 1-e-Be 2e-Be 1+2e=BE (a) N. (b) N (c) N. (d) Narrow_forwardThe Einstein's model makes the assumption that a solid can be treated a set of N identical, independent harmonic oscillators. Compute the heat capacity for such a system. Make the simplifying assumption that a single harmonic oscillator is described by the quantized energy levels: E, = kħw, where k = 0,1, 2, ....arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning