I What is the radius of a hydrogen atom whose electron is bound by ?
We can start the solution with expression for energy in nth state for hydrogen atom
((-)sign of because energy in any atom is negative)
The electron interference pattern of Figure 38.12 was made by shooting electrons with of kinetic energy through two slits spaced 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?
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.
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