00:01
For this exercise, we have a photon that collides with an electron, and we want to find what is the maximum kinetic energy that the electron can have after the collision.
00:14
And we're given the information that the wavelength of the incident photon is six picometers.
00:22
So notice that from conservation of energy, we know that the energy of the incident photon is going to be equal to the kinetic energy of the electron plus the energy of the scattered photon.
00:35
So that the kinetic energy of the electron is going to be the energy of the incident photon minus the energy of the scattered photon.
00:44
And from this formula, we can see that the larger, the kinetic energy of the electron, the smallest, the scattered and the energy of the scattered photon.
00:59
So if you're looking for the maximum kinetic energy of the electron, it's the same as looking for the minimum energy of the scattered photon.
01:11
And we know that the energy of the scattered photon is going to be hc over lambda s.
01:20
Lambda s is the wavelength of the scattered photon.
01:26
So this means that if we're looking for the smallest energy of the scattered photon, we're looking for the smallest energy of the scattered photon, the largest lambda s.
01:37
And according to compton's formula, we have that the scattered wavelength is given by the initial wavelength, plus h over mass of the electron c, 1 minus cosine of theta...