Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 11Q
To determine
To explain:
The minima on the left side are nonzero.
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*24 Figure 39-30 shows a two-dimen-
sional, infinite-potential well lying in an
xy plane that contains an electron. We
probe for the electron along a line that
bisects L, and find three points at which
the detection probability is maximum. Figure 39-30 Problem 24.
Those points are separated by 2.00 nm.
Then we probe along a line that bisects L, and find five points at
which the detection probability is maximum. Those points are sep-
arated by 3.00 nm. What is the energy of the electron?
A thin solid barrier in the xy-plane has a 12.6µm diameter circular hole. An electron traveling in
the z-direction with vx
0.00m/s passes through the hole. Afterward, within what range is vx
likely to be?
22 A particle is confined to the one-dimensional infinite poten-
tial well of Fig. 39-2. If the particle is in its ground state, what
is its probability of detection between (a) x = 0 and x = 0.30L.
(b) x = 0.70L and x = L, and (c) x = 0.30L and x = 0.70L?
U(x)
Fig 39-2
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Prob. 5QCh. 38 - Prob. 6QCh. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10Q
Ch. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53PCh. 38 - Prob. 54PCh. 38 - Prob. 55PCh. 38 - Prob. 56PCh. 38 - Prob. 57PCh. 38 - Prob. 58PCh. 38 - Prob. 59PCh. 38 - Prob. 60PCh. 38 - Prob. 61PCh. 38 - Prob. 62PCh. 38 - Prob. 63PCh. 38 - Prob. 64PCh. 38 - Prob. 65PCh. 38 - Prob. 66PCh. 38 - Prob. 67PCh. 38 - Prob. 68PCh. 38 - Prob. 69PCh. 38 - Prob. 70PCh. 38 - Prob. 71PCh. 38 - Prob. 72PCh. 38 - Prob. 73PCh. 38 - Prob. 74PCh. 38 - Prob. 75PCh. 38 - Prob. 76PCh. 38 - Prob. 77PCh. 38 - Prob. 78PCh. 38 - Prob. 79PCh. 38 - Prob. 80PCh. 38 - Prob. 81PCh. 38 - Prob. 82PCh. 38 - Prob. 83PCh. 38 - Prob. 84PCh. 38 - Prob. 85PCh. 38 - Prob. 86PCh. 38 - Prob. 87PCh. 38 - Prob. 88PCh. 38 - Prob. 89PCh. 38 - Prob. 90P
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- An electron is moving past the square barrier shown in Fig. , but the energy of the electron is greater than the barrier height. If E = 2U0 , what is the ratio of the de Broglie wavelength of the electron in the region x 7 L to the wavelength for 0 6 x 6 L?arrow_forwardThe interatomic spacing in a crystal of table salt is 0.282 nm. This crystal is being studied in a neutron diffraction experiment. How fast must a neutron (mass = 1.67x10-27 kg) be moving to have a de Broglie wavelength of 0.282 nm?arrow_forwardAn electron is confined between two perfectly reflecting walls separated by the distance 12 x 10-11m. Use the Heisenberg uncertainty relation to estimate the lowest energy that the particle can have (in eV).arrow_forward
- For x rays with wavelength 0.0300 nm, the m = 1 inten- sity maximum for a crystal occurs when the angle u in Fig. is 35.8°. At what angle u does the m = 1 maximum occur when a beam of 4.50 keV electrons is used instead? Assume that the electrons also scat- ter from the atoms in the surface plane of this same crystal.arrow_forwardCalculate the approximate energy of a Kα x ray from a tungsten anode in an x-ray tube.arrow_forward1. 8 Compton scattering. Figure 38-22 gives the Compton shift AA versus scattering angle o for three different stationary target particles. Rank the particles according to their mass, greatest first. 2. Figure 38-22 Question 8.arrow_forward
- The radii of atomic nuclei are of the order of 5.0 * 10-15 m. (a) Estimate the minimum uncertainty in the momentum of a proton if it is confined within a nucleus. (b) Take this uncertainty in momentum to be an estimate of the mag- nitude of the momentum. Use the relativistic relationship between energy and momentum, Eq. (37.39), to obtain an estimate of the ki- netic energy of a proton confined within a nucleus. (c) For a proton to remain bound within a nucleus, what must the magnitude of the (negative) potential energy for a proton be within the nucleus? Give your answer in eV and in MeV. Compare to the potential energy for an electron in a hydrogen atom, which has a magnitude of a few tens of eV. (This shows why the interaction that binds the nucleus together is called the “strong nuclear force.”)arrow_forwardA proton is confined in box whose width is d = 750 nm. It is in the n=3 energy state. What is the probability that the proton will be found within a distance of d/n from one of the walls? [Hint: the average value sin^2x over one or more of its cycles is 1/2] PLEASE PLEASE include a sketch of U(x) and Ψ(x)arrow_forward.8 O An electron is trapped in a one-dimensional infinite well and is in its first excited state. Figure 39-27 indicates the five longest wavelengths of light that the electron could absorb in transitions from this initial state via a single photon absorption: A, = 80.78 nm, A, = 33.66 nm, A = 19.23 nm, A, = 12.62 nm, and A, = 8.98 nm. What is the width of the potential well? %3D %3! 2 (nm) Figure 39-27 Problem 8.arrow_forward
- An electron is trapped in an infinitely deep one-dimensional well of width 0,251 nm. Initially the electron occupies the n=4 state. Suppose the electron jumps to the ground state with the accompanying emission of photon. What is the energy of the photon?arrow_forwardWhat do we need to do to average over Θ and ф to get the probability that the electron is inside a shell of radius r and thickness dr?arrow_forwardAn electron with total energy En approaches a barrier of height Ub and thickness L . Calculate the transmission coefficient T. Where the energy En= 25.5 eV, Ub=34.005 eV the width L=75 pm is given .arrow_forward
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