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Photons, electrons and atoms: The work function ( ) of electrons in sodium is 2.28 eV....

Photons, electrons and atoms:

The work function ( ) of electrons in sodium is 2.28 eV.

b. What total momentum ?(?,) (formula) is transferred to the metal surface when a photon is incident vertically and the photoelectron is emitted in the opposite direction?

c. Assume that a (resting) free electron could completely absorb a photon. What wavelength would the photon have to have in order for the momentum balance to be fulfilled in this case as well? Use the so-called Compton wavelength . Compare the photon energy with the rest energy of the electron

d. Individual sodium atoms absorb and emit particularly well at a wavelength of 589 nm, the so-called sodium D-line. What is the velocity and de-Broglie wavelength of a previously resting sodium atom that emitted such a photon? What temperature does a sodium gas with this average velocity have?

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