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Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET PDF Download

What is Compton Effect?


The Compton effect is defined as the effect that is observed when x-rays or gamma rays are scattered on a material with an increase in wavelength. Arthur Compton studied this effect in the year 1922. During the study, Compton found that wavelength is not dependent on the intensity of incident radiation. It is dependent on the angle of scattering and on the wavelength of the incident beam. It is given in the following mathematical form:
Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET
Where,
Ө: the angle at which radiation scattered
m0: rest mass of an electron
h/m0c : Compton wavelength of the electron
λs and λ0: radiation spectrum peaks.

Derivation of Compton effect equation


Considering the elastic collide between a photon and an electron, the following is the derivation:
0 : energy of photon
Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET
:momentum of the photon
Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET
(conservation of momentum in x direction)
Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET
(conservation of momentum in y direction)
Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET
Therefore, above is the Compton effect equation andImportant Derivations: Thermal Properties of Matter | Physics Class 11 - NEETis Compton wavelength of an electron.

Difference Between Compton Effect and Photoelectric Effect


Important Derivations: Thermal Properties of Matter | Physics Class 11 - NEET

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