Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 14.1, Problem 2aT
To determine
The better model to see the same behavior of electron.
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Electrons go through a single slit 150 nm wide and strike a screen 24.0 cm away. You find that at angles of +/- 20.0 degrees from the center of the diffraction pattern, no electrons hit the screen but electrons hit at all points closer to the center.
(a) How fast were these electrons moving when they went through the slit?
(b) What will be the next larger angles at which no electrons hit the screen?
An electron is confined to a rigid box that is 1.20nm long.
If the electron is in the third excited state what is the de broglie wavelength?
What are all of the possible wavelengths of light that the electron can emit as it goes to ground state?
Electrons with an energy of 0.610 eV are incident on a double slit in which the two slits are separated by 60.0 nm.
a) What is the de Broglie wavelength (in nanometers) of these electrons?
b) What is the angle between the two second-order maxima in the resulting interference pattern?
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Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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- Is it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?arrow_forwardYou would like to observe an E. coli bacterium that is 2.15 μm (micrometers) long. Because diffraction blurs an image, you would like to minimize the effects of diffraction by using a wavelength no larger than the object you are observing. For this problem, assume the wavelength is equal to the length of the bacterium. What is the energy of a photon with this wavelength? What is the energy of an electron with a de Broglie wavelength of this size? In terms of energy, which particles, photons or electrons, are the least likely to damage your sensitive biological sample? electrons? photons? they are the samearrow_forwardTwo identical gas particles (same mass) have different de Broglie wavelengths, gas particle A has a larger (longer) wavelength than gas particle B. Which one is travelling at a higher velocity? Briefly explain why for each one. (One sentence or one equation)arrow_forward
- As part of an electron diffraction experiment, electrons are accelerated from rest across a potential difference of 100 V. The beam of electrons is then directed at a diffraction grating with 1000 lines/mm, and the resulting pattern is detected on a phosphorescent screen 0.25 m away from the grating. a) whats the speed of the electrons as they reach the diffraction grating? b) whats the wavelength of the electrons? c) what is the distance at which one would observe the 2nd maxima on the screen, as measured from the central maxima?arrow_forwardWhich of the following statements are true? Check all that apply. When particles pass through a double slit, it acts like a particle. When particles pass through a double slit, it acts like waves. When light passes through a double slit, it acts like particles. When light passes through a double slit, it acts like a wave.arrow_forwardHow do you calculate the velocity of an electron if the debroy wavelength is given.arrow_forward
- 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.arrow_forwardIn attempting to reconcile the wave and particle models of light, some people have suggested that the photon rides up and down on the crests and troughs of the electromagnetic wave. What things are wrong with this description?arrow_forwardWhat exactly is meant by the term "quantum tunnelling"?arrow_forward
- A beam of electrons with kinetic energy 45 keV is shotthrough two narrow slits in a barrier. The slits are a distance 2.0 x 10-6 m apart. If a screen is placed 45.0 cm behind the barrier, calculate the spacing between the “bright” fringes of the interference pattern produced on the screenarrow_forwardYou are working as a demonstration assistant for a physics professor. She wants to demonstrate to her students the buildup of the interference pattern for single electrons passing through a double slit, as shown. Her source of electrons will be a certain vacuum tube, in which electrons evaporate from a hot cathode at a slow, steady rate and accelerate from rest through a potential difference of 45.0 V. After being accelerated, they travel through a fieldfree and evacuated region before they pass through the double slits and fall on a screen to produce an interference pattern. To ensure that only one electron at a time is passing through the slits, she wants the electrons to be separated in space by d = 1.00 cm (perpendicular to the barrier containing the slits) as they approach the slit. She asks you todetermine the maximum value for the beam current that will assure that only one electron at a time passes through the slits.arrow_forwardExplain the following concepts: If you observe objects inside a very hot kiln, why is it difficult to discern the shapes of the objects? Why is an electron microscope more suitable than an optical microscope for “seeing” objects of atomic size? Are blackbodies black? Why is it impossible to simultaneously measure the position and velocity of a particle with infinite accuracy? All objects radiate energy. Why, then, are we not able to see all the objects in a dark room? Is light a wave or a particle? Support your answer by citing specific experimental evidence. In the photoelectric effect, explain why the stopping potential depends on the frequency of the light but not on the intensity. provided sources using APA format.arrow_forward
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