You are on an airplane traveling 30° south of due west at 180 m/s with respect to the air. The air is moving with a speed 31 m/s
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(a) The electron kinetic energy is
which can be converted into Joule by keeping in mind that
So that we find
The kinetic energy of the electron is related to its momentum p by:
where m is the electron mass. Re-arranging the equation, we find
And now we can use De Broglie's relationship to find its wavelength:
where h is the Planck constant.
(b) By using the same procedure of part (a), we can convert the photon energy into Joules:
The energy of a photon is related to its frequency f by:
where h is the Planck constant. Re-arranging the equation, we find
And now we can use the relationship between frequency f, speed of light c and wavelength
of a photon, to find its wavelength:
which can be converted into Joule by keeping in mind that
So that we find
The kinetic energy of the electron is related to its momentum p by:
where m is the electron mass. Re-arranging the equation, we find
And now we can use De Broglie's relationship to find its wavelength:
where h is the Planck constant.
(b) By using the same procedure of part (a), we can convert the photon energy into Joules:
The energy of a photon is related to its frequency f by:
where h is the Planck constant. Re-arranging the equation, we find
And now we can use the relationship between frequency f, speed of light c and wavelength