In the atom interferometer experiment of Figure 38.14 in the textbook, laser-coo

Question

In the atom interferometer experiment of Figure 38.14 in the textbook, laser-cooling techniques were used to cool a dilute vapor of sodium atoms to a temperature of 0.0013K=1.3mK. The ultra cold atoms passed through a series of collimating apertures to form the atomic beam you see entering the figure from the left. The standing light waves were created from a laser beam with a wavelength of 520nm. Part A What is the rms speed vrms of a sodium atom (A=23) in a gas at temperature 1.3mK? Express your answer to two significant figures and include the appropriate units. Part B By treating the laser beam as if it were a diffraction grating, calculate the first-order diffraction angle of a sodium atom traveling with the rms speed of part A. Express your answer to two significant figures and include the appropriate units. Part C How far apart are points B and C if the second standing wave is 14cm from the first? Express your answer to two significant figures and include the appropriate units. Part D Because interference is observed between the two paths, each individual atom is apparently present at both point B and point C. Describe, in your own words, what this experiment tells you about the nature of matter.

Explanation / Answer

PART A)

?rms = (3RT/M)

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