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Chapter 38: Q 4 (page 1114)
Photoelectrons are observed when a metal is illuminated by light with a wavelength less than 388 nm. What is the metal’s work function?
Work function of the metal is 3.2 eV
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The electron interference pattern of Figure 38.12 was made by shooting electrons with of kinetic energy through two slits spaced role="math" localid="1650737433408" apart. The fringes were recorded on a detector 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 38.12 is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?
How would the graph of Figure 38.2 look if classical physics provided the correct description of the photoelectric effect? Draw the graph and explain your reasoning. Assume that the light intensity remains constant as its frequency and wavelength are varied.
Electrons in a photoelectric-effect experiment emerge from an aluminum surface with a maximum kinetic energy of 1.30 eV. What is the wavelength of the light?
The first three energy levels of the fictitious element X were shown in FIGURE P38.56. An electron with a speed of 1.4 X 106 m/s collides with an atom of element X. Shortly afterward, the atom emits a photon with a wavelength of 1240 nm. What was the electron's speed after the collision? Assume that, because the atom is much more massive than the electron, the recoil of the atom is negligible. Hint: The energy of the photon is not the energy transferred to the atom in the collision.
What is the length of a one-dimensional box in which an electron in the state has the same energy as a photon with a wavelength of ?
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