An electron and a proton have the same kinetic energy. Which has the greater de Broglie wavelength?
The electron has greater de Broglie wavelength than proton.
The de Broglie wavelength is given by,
Here, h is the plank’s constant, m is the mass and v is the velocity.
From the de Broglie wavelength, it can be observed that the mass of the particle is inversely proportional to the wavelength.
It is known that the mass of the proton is and the mass of the electron is . Clearly, the mass of the proton is more than the mass of the electron. So, the de Broglie wavelength of electron will be more than the de Broglie wavelength of proton.
Therefore, the electron has greater de Broglie wavelength than proton.
An orbiting satellite can charge by the photoelectric effect when sunlight ejects electrons from its outer surface. Satellites must be designed to minimize such charging because it can ruin the sensitive microelectronics. Suppose a satellite is coated with platinum, a metal with a very large function . Find the longest wavelength of incident sunlight that can eject an electron from the platinum.
Suppose the fractional efficiency of a Cesium surface (with work function 1.80 eV ) is ; that is, on average one electron is ejected for every photons that reach the surface. What would be the current of electrons ejected from such a surface if it were illuminated with 600 nm light from 2.0 mW laser and all the ejected electrons took part in the charge flow?
For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling through a potential barrier, plotted versus barrier thickness L. The de Broglie wavelengths of the electrons are identical in the three experiments. The only difference in the physical setups is the barrier heights . Rank the three experiments according to greatest first.
X rays of wavelength 0.0100 nm are directed in the positive direction of an axis onto a target containing loosely bound electrons. For Compton scattering from one of those electrons, at an angle of , what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron, and (d) the angle between the positive direction of the axis and the electron’s direction of motion?
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