In a demonstration of the double slit experiment, a high velocity stream of dense spheres is fired at a slit, and another stream is fired at an adjacent identical slit. For each stream, all spheres pass straight through the slit, then hit the same location on a screen. Next, two streams of electrons are fired at two slits next to one another. On a screen beyond the slits, a diffraction pattern is formed. Which situation does classical mechanics explain, and which situation does quantum mechanics explain? Spheres Electrons A Classical mechanics Classical mechanics Spheres Electrons Classical mechanics Quantum mechanics Spheres Electrons Quantum mechanics Classical mechanics Spheres Electrons Quantum mechanics Quantum mechanics

In a demonstration of the double slit experiment, a high velocity stream of dense spheres is fired at a slit, and another stream is fired at an adjacent identical slit. For each stream, all spheres pass straight through the slit, then hit the same location on a screen. Next, two streams of electrons are fired at two slits next to one another. On a screen beyond the slits, a diffraction pattern is formed. Which situation does classical mechanics explain, and which situation does quantum mechanics explain? Spheres Electrons A Classical mechanics Classical mechanics Spheres Electrons Classical mechanics Quantum mechanics Spheres Electrons Quantum mechanics Classical mechanics Spheres Electrons Quantum mechanics Quantum mechanics

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter40: Quantum Mechanics

Section: Chapter Questions

Problem 41AP

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A grain of sand with mass 1.0 mg and kinetic energy 1.0 J is incident on a potential energy barrier with height 1.00000 J and width 2500 nm. How many grains of sand have to fall on this barrier before, on the average, one passes through?
A beam of electrons is accelerated from rest and then passes through a pair of identical thin slits that are 1.25 nm apart. You observe that the first double-slit interference dark fringe occurs at +_18.0° from the original direction of the beam when viewed on a distant screen. Are these electrons relativistic? How do you know?
A beam of electrons is accelerated from rest and then passes through a pair of identical thin slits that are 1.25 nm apart. You observe that the first double-slit interference dark fringe occurs at +-18.0 from the original direction of the beam when viewed on a distant screen. (a) Are these electrons relativistic? How do you know? (b) Through what potential difference were the electrons accelerated?
For the double slit experiment with electrons, which one of the following statements is true according to the standard (Copenhagen) interpretation of quantum mechanics? It is possible to measure which slit an electron went through, but if you make this measurement, the beam of electrons will no longer form the multiple fringe pattern on the screen. It is, in principle, possible to measure which slit an electron went through and still see a multiple fringe pattern, if the technology is sophisticated enough. Each electron must have gone through one slit or the other, but it is impossible to measure which slit any one particular electron went through. No answer text provided.
When a beam of electrons is directed at a suitably narrow pair of slits, a)one bright region with intensity decreasing exponentially on each side is observed at a screen behind the double slit. b)alternating areas of bright intensity and low intensity are observed behind the double slit. c)all the electrons pass through one slit and a single, sharply defined region of bright intensity is observed. b)two areas of bright, sharply defined intensity are observed, one behind each slit.
Consider electrons incident on a double slit apparatus. You observe that they form the same pattern as 460-nm light on the screen behind the slits. a) Calculate the velocity, in m/s, of the electrons. b) Calculate the kinetic energy, in Joules, of the electron.
Question 2: A beam of electrons with kinetic energy K, is incident on a single slit of width a. After passing through the slit, the beam strikes a screen where it is made visible. At the center of the screen directly in front of the slit, the intensity of the pattern on the screen is I₁. If the kinetic energy of the beam is increased (keeping the slit width and the number of electrons per second constant), does the intensity of the pattern at the center of the screen increase, decrease, or remain the same? EXPLAIN YOUR ANSWER.
The electron interference pattern as shown was made by shooting electrons with 50 keV of kinetic energy through two slits spaced 1.0 mm apart. The fringes were recorded on a detector 1.0 m behind the slits.a. What was the speed of the electrons? (The speed is large enough to justify using relativity, but for simplicity do this as a nonrelativistic calculation.)b. Figure is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?
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Learning Goal: To understand how to find the wavelength and diffraction patterns of electrons. An electron beam is incident on a single slit of width a. The electron beam was generated using a potential difference of magnitude V. After passing through the slit, the diffracted electrons are collected on a screen that is a distance L away from the slit. Assume that V is small enough so that the electrons are nonrelativistic. Ultimately, you will find the width of the central maximum for the diffraction pattern. Part A In any diffraction problem, the wavelength of the waves is important. To find the wavelength of electrons, you can use the de Broglie relation λ =, but you first must find the momentum of one of the electrons. The electrons are accelerated through a potential difference V. Use this information to find the momentum p of the electrons. Express your answer in terms of the mass of an electron me, the magnitude of the charge on an electron e, and V. ► View Available Hint(s) p=…
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