In the atom interferometer experiment of Figure 38.13 , lasercooling techniques were used to cool a dilute

Question:

In the atom interferometer experiment ofFigure 38.13, lasercooling techniques were used to cool a dilute vapor of sodium atoms to a temperature of 0.0010 K = 1.0 mK. The ultracold 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 590 nm.

$The atom wave is divided at A by diffracting through the standing light wave. Mirror Standing light wave- Atoms- Detecto$
a. What is the rms speed v_rms of a sodium atom (A = 23) in a gas at temperature 1.0 mK?
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.
c. How far apart are points B and C if the second standing wave is 10 cm from the first?
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