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Chapter 38: Q. 49 (page 1116)
An experiment was performed in which neutrons were shot through two slits spaced 0.10 mm apart and detected 3.5 m behind the slits. Figure P38.49 shows the detector output. Notice the scale on the figure. To one significant figure, what was the speed of the neutrons?
The resultant value is
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The first three energy levels of the fictitious element X are shown in Figure.
a. What is the ionization energy of element X?
b. What wavelengths are observed in the absorption spectrum of element X? Express your answers in nm.
c. State whether each of your wavelengths in part b corresponds to ultraviolet, visible, or infrared light.
In the atom interferometer experiment of Figure , laser cooling techniques were used to cool a dilute vapor of sodium atoms to a temperature of . The ultracold atoms passed through a series of collimating apertures to form the atomic beam you see circling the figure from the left. The standing light waves were created from a laser beam with a wavelength of .
a. What is the rms speed of a sodium atom in a gas at temperature ?
b. By treating the laser beam as if it were a diffraction grating. Calculate the first-order diffraction angle of a sodium atom traveling at the rms speed of part a.
c. how far apart are the points and if the second sanding wave is from the first?
d. Because interference is observed between the two paths, each individual atom is apparently present at both points and point Describe, in your own words, what this experiment tells you about the nature of matter.
The charge on a muon-a subatomic particle is -e and its mass 207 times that of an electron-
which is confined in a 15-pm-long, one-dimensional box.
(1 pm = 1 picometer = 10-12 m.)
What is the wavelength, in nm, of the photon emitted in a quantum jump from n=2 to n=1
What is the energy, in eV, of (a) a 450 MHz radio-frequency photon, (b) a visible-light photon with a wavelength of 450 nm, and (c) an x-ray photon with a wavelength of 0.045 nm?
Potassium and gold cathodes are used in a photoelectric effect experiment. For each cathode, find:
a) The threshold frequency.
b) The threshold wavelength.
c) The maximum photoelectron ejection speed if the light has a wavelength of 220 nm.
d) The stopping potential if the wavelength is 220 nm
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