Mention the change in wave length of the photon after it collides with free electron?? Is the rule of particle can be applied here?

Jadon Johnson 2022-11-18 Answered
Mention the change in wave length of the photon after it collides with free electron?? Is the rule of particle can be applied here?
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Answers (1)

kavdawg8w8
Answered 2022-11-19 Author has 20 answers
You are probably familiar with the relation
c = λ f
where c is the speed of light, λ the wavelength and f the frequency of a photon.
The general formula for Compton scattering is normally given as
λ = λ C ( 1 cos α ) + λ
where λ is the wavelength of the scattered photon, λ the initial wavelength, λ C the Compton wavelength λ C = h m e c and α is the angle at which the photon scatters.
From this formula, we can see that the wavelength of a photon increases when it scatters at an electron. To visualize, the photon gives some of its energy to the electron. The energy of a photon is given as
E = h f
or E = h c λ so if the wavelength increases, the energy of the photon decreases. To illustrate further, if you shoot blue light at a stationary electron, you end up with scattered red light.
For the case of electromagetic radiation (light!), you can convert between frequency and wavelength using c = λ f. Those formulas combined allow you to find the frequency and wavelength of a scattered photon.
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