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Chapter 38: Q40P (page 1183)
What is the maximum kinetic energy of electrons knocked out of a thin copper foil by Compton scattering of an incident beam of 17.5 keV x-rays? Assume the work function is negligible.
The maximum energy of electron is 1.1 keV.
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Question: Figure 38-13 shows a case in which the momentum component
of a particle is fixed so that ; then, from Heisenberg’s uncertainty principle (Eq. 38-28), the position x of the particle is completely unknown. From the same principle it follows that the opposite is also true; that is, if the position of a particle is exactly known , the uncertainty in its momentum is infinite.Consider an intermediate case, in which the position of aparticle is measured, not to infinite precision, but to within a distanceof , where is the particle’s de Broglie wavelength.Show that the uncertainty in the (simultaneously measured) momentumcomponent is then equal to the component itself; that is,. Under these circumstances, would a measured momentumof zero surprise you? What about a measured momentum of ? Of ? Of ?
X rays of wavelength 0.0100 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of those electrons, at an angle of , what are
(a) the Compton shift,
(b) the corresponding change in photon energy,
(c) the kinetic energy of the recoiling electron, and
(d) the angle between the positive direction of the x axis and the electron’s direction of motion?
Consider a collision between an x-ray photon of initial energy and an electron at rest, in which the photon is scattered backward and the electron is knocked forward.
(a) What is the energy of the backscattered photon?
(b) What is the kinetic energy of the electron?
Question:SSM Show that the angular wave number for a nonrelativistic free particle of mass can be written as in which is the particle’s kinetic energy
The wavelength associated with the cutoff frequency for silver is 325nm. Find the maximum kinetic energy of electrons ejected from a silver surface by ultraviolet light of wavelength 254nm.
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