It is desired to produce x-ray radiation with a wavelength of 1 A. (a) Through what potential voltage difference must the electron be accelerated in vacuum so that it can, upon colliding with a target, generate such a photon? (Assume that all of the elec- tron's energy is transferred to the photon.) (b) What is the de Broglie wavelength of the electron in part (a) just before it hits the target?
It is desired to produce x-ray radiation with a wavelength of 1 A. (a) Through what potential voltage difference must the electron be accelerated in vacuum so that it can, upon colliding with a target, generate such a photon? (Assume that all of the elec- tron's energy is transferred to the photon.) (b) What is the de Broglie wavelength of the electron in part (a) just before it hits the target?
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 2.11
![(in eV), average electron momentum, and the de Broglie wavelength!
An electron and a photon have the same energy. At what value of energy (in eV) will
the wavelength of the photon be 10 times that of the electron?
2.9
2.10 (a) The de Broglie wavelength of an electron is 85 Å. Determine the electron
energy (eV), momentum, and velocity. (b) An electron is moving with a velocity of
8 X 10° cm/s. Determine the electron energy (eV), momentum, and de Broglie wave-
length (in Å).
2.11 It is desired to produce x-ray radiation with a wavelength of 1 . (a) Through what
potential voltage difference must the electron be accelerated in vacuum so that it can,
upon colliding with a target, generate such a photon? (Assume that all of the elec-
tron's energy is transferred to the photon.) (b) What is the de Broglie wavelength of
the electron in part (a) just before it hits the target?
2.12 When the uncertainty principle is considered, it is not possible to locate a photon in
space more precisely than about one wavelength. Consider a photon with wavelength
= 1
µm.
What is the uncertainty in the photon's momentum?
2.13 (a) The uncertainty in position is 12 Å for a particle of mass 9 × 10-31
kg. The nomi-
nal energy of the particle is 16 eV. Determine the minimum uncertainty in (i) momen-
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Transcribed Image Text:(in eV), average electron momentum, and the de Broglie wavelength!
An electron and a photon have the same energy. At what value of energy (in eV) will
the wavelength of the photon be 10 times that of the electron?
2.9
2.10 (a) The de Broglie wavelength of an electron is 85 Å. Determine the electron
energy (eV), momentum, and velocity. (b) An electron is moving with a velocity of
8 X 10° cm/s. Determine the electron energy (eV), momentum, and de Broglie wave-
length (in Å).
2.11 It is desired to produce x-ray radiation with a wavelength of 1 . (a) Through what
potential voltage difference must the electron be accelerated in vacuum so that it can,
upon colliding with a target, generate such a photon? (Assume that all of the elec-
tron's energy is transferred to the photon.) (b) What is the de Broglie wavelength of
the electron in part (a) just before it hits the target?
2.12 When the uncertainty principle is considered, it is not possible to locate a photon in
space more precisely than about one wavelength. Consider a photon with wavelength
= 1
µm.
What is the uncertainty in the photon's momentum?
2.13 (a) The uncertainty in position is 12 Å for a particle of mass 9 × 10-31
kg. The nomi-
nal energy of the particle is 16 eV. Determine the minimum uncertainty in (i) momen-
MacBook Air
80
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