If an incident photon of a wavelength A has scattered with an angle e after it collides with an electron in an atom, what is the shift in its wave length?

Lorena Lester

Lorena Lester

Answered question

2022-07-16

If an incident photon of a wavelength A has scattered with an angle e after it collides with an electron in an atom, what is the shift in its wave length?

Answer & Explanation

Dominique Ferrell

Dominique Ferrell

Beginner2022-07-17Added 18 answers

As per the request, I am solving the second question.
Let the photon incident on the electron (which is assumed to be at rest) has a wavelengthλ.
When the photon collides with the electrons it recoils and gets scattered at an angleθ. Let the wavelength of the scattered photon be λ . This is a classic example of an inelastic collision where an incident photon collides with an electron (assumed to be at rest) loses its energy and recoils.
Since this phenomenon is called the Compton effect.
And the shift in the wavelength is given by
λ = λ λ = h m c ( 1 cos θ )
Where
h is the Plank's Constant
c is the speed of light and
m is the mass of the electron.

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