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Q.71

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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.

(a).

(b)

(c)

(d) We can conclude that the atoms have nonlocalized behavior like waves.

See the step by step solution

Step by Step Solution

Step: 1 Given information

(a) sodium atom in a gas at a temperature ?

Step 2: Calculation

(a),We can begin by using the following speed equation from the kinetic theory of gases:

Step 3: Given information

(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

Step 4: Calculation

We must first locate de Broglie's wavelength.

Step:5 Given information

(c).How far apart are the points and if the second sanding wave is from the first?

Step: 6 Calculation

(c). From Figure and geometry, we can find the distance between and

Step 7: Given information

The individual atom is apparently present at both point and point. Describe, in your own words, what this experiment tells you about the nature of matter.

Step: 8 Calculation

(d). We can deduce that atoms behave like waves in terms of nonlocality.

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