Determine the Compton wavelength of the electron, defined to be the wavelength it would have if its momentum were.
Compton Wavelength of the electron
the electron's mass
the electron's momentum
The following equation can be used to describe the de Broglie wavelength.
Know that the electron's momentum is .
Get the wavelength expression as follows
Using the wavelength's derived expression, Obtain as:
The Compton Wavelength of the electron is .
A beam of electrons strikes a barrier with two narrow but equal-width slits. A screen is located beyond the barrier. And electrons are detected as they strike the screen. The "center" of the screen is the point equidistant from the slits. When either slit alone is open, electrons arrive per second in a very small region at the center of the screen. When both slits are open, how many electrons will arrive per second in the same region at the center of the screen?
Question: Atoms in a crystal form atomic planes at many different angles with respect to the surface. The accompanying figure shows the behaviors of representative incident and scattered waves in the Davisson-Germer experiment. A beam of electrons accelerated through 54 V is directed normally at a nickel surface, and strong reflection is detected only at an angle of 500.Using the Bragg law, show that this implies a spacing D of nickel atoms on the surface in agreement with the known value of 0.22 nm.
The energy of a particle of mass bound by an unusual spring is .
(a) Classically. it can have zero energy. Quantum mechanically, however, though both and are "on average" zero, its energy cannot be zero. Why?
(b) Roughly speaking. is a typical value of the particle's position. Making a reasonable assumption about a typical value of its momentum, find the particle's minimum possible energy.
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