a. What quantum number of the hydrogen atom comes closest to giving a 100-nm-diameter electron orbit?
b. What are the electron’s speed and energy in this state?
(a) The radius of a hydrogen atom in its nth state
(b) In the nth state, the speed is
The providing an electron orbit with a radius is 100 nano meters
We can begin by calculating the radius of a hydrogen atom in the nth state.
The given Electronic speed and energy in Bohr Hydrogen atom
In the nth state, we may now utilize the expression:
In the atom interferometer experiment shown in 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 this temperature ?
b. By treating the laser beam as if it were a diffraction grating. cakculate the first-order diffraction angle of a sodium atom traveling with the rms speed of part a.
c. allow far apart are 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 point and point . Describe, in your own words, what this experiment tells you about the nature of matter.
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