Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 42, Problem 40SP
To determine
To show: That thede Broglie wavelength of an electron is
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Starting from rest, an electron accelerates through a potential difference of 49 V. What is its de Broglie wavelength? ( h = 6.63 × 10 −34 J ⋅s, m e = 9.11 × 10 −31 kg, and 1 eV = 1.60 × 10 −19 J)
A proton confined in a one-dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n = 2 to n = 1. What is the length of the box?
A beam of electrons is accelerated from rest through a potential difference of 0.100 kV and
then passes through a thin slit. When viewed far from the slit, the diffracted beam shows its
first minimum at ± 14.6° from the original direction of the beam.
A) What is the velocity of the electrons?
B) What is the de Broglie wavelength of the electrons?
Chapter 42 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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- An electron, starting from rest, accelerates through a potential difference of 26.0 V. What is the final de Broglie wavelength of the electron, assuming that its final speed is not relativistic?arrow_forwardHow fast does an electron have to go to have the a de Broglie wavelength of 2.56 nm? Please give your answer in m/s.arrow_forwardWhat is the de Broglie wavelength of an electron accelerated from rest through a potential difference of 50.0 V and 50. 0 kV?arrow_forward
- An electron with an initial total energy of E=3.757 eV (in a region with zero potential) is incident on a potential step (extending from x=0 to infinity) to V=1.952 eV. What is the electron's de Broglie wavelength in nm once it crosses the potential step?arrow_forwardWhat is the velocity of an electron with a deBroglie wavelength of 2.74 um ? Give your answer in m/s with no decimal places please.arrow_forwardIn an electron microscope, the nonrelativistic electron beam is formed by a setup similar to the electron gun used in the Davisson– Germer experiment (see Fig. 39.2). The electrons have negligible kinetic energy before they are accelerated. What accelerating voltage is needed to produce electrons with wavelength 10 pm = 0.010 nm (roughly 50,000 times smaller than typical visible-light wavelengths)?arrow_forward
- An electron is accelerated through a potential difference of 26 000 V. What is the de Broglie wavelength of the electron (in m)?arrow_forwardAn electron with a kinetic energy of 44.34 eV is incident on a square barrier with Up = 57.43 eV and w = 2.200 nm. What is the probability that the electron tunnels through the barrier? (Use 6.626 x 1034 j x S for h, 9.109 x 1031 kg for the mass of an electron, and 1.60 x 1019 C for the charge of an electron.)arrow_forward(b) An electron confined in a one dimensional box emits a 200 nm photon in a quantum jump from n = 2 to n = 1. What is the length of the box? The mass of an electron is 9.11 x 1031 kg. (c) A proton confined in a one dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n = 2 to n = 1. What is the length of the box? The mass of a proton is 1.67 x 1027 kg.arrow_forward
- What is the de Broglie wavelength for an electron with speed (a) v = 0.469c and (b) v = 0.958c? (Hint: Use the correct relativistic expression for linear momentum if necessary.)arrow_forwardElectrons with a speed of 2.0 x 106 m/s pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 1.5 mm.a. What will the fringe spacing be if the electrons are replaced by neutrons with the same speed?b. What speed must neutrons have to produce interference fringes with a fringe spacing of 1.5 mm?arrow_forwardWPS Office ASSIGNMENT 2.pdf + Sign in O Go Premium = Menu v Home Insert Comment Edit Page Protect Tools 1. The photoelectric threshold wavelength of a tungsten surface is 270 nm. Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency 1.45 x 1015 Hz. K 2. What would the min. work function for a metal have to be for visible light (380–750 nm) to eject photoelectrons? B 3. The cathode-ray tubes that generated the picture in early color televisions were sources of X-rays. If the acceleration voltage in a television tube is 15 kV, what are the shortest- wavelength x-rays produced by the television? 4. (a) What is the minimum potential difference between the filament and the target of an x- ray tube if the tube is to produce x-rays with a wavelength of 0.16 nm? (b) What is the shortest wavelength produced in an x-ray tube operated at 30 kV? 3E 5. A laser produces light of wavelength 620 nm in an ultrashort pulse.…arrow_forward
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