What is the max E that teh electron can obtain?

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SUMMARY

The maximum energy that a free electron can obtain from a photon scattering event is determined by the Compton scattering formula. In this scenario, a photon with an energy of 20 keV interacts with an electron at rest. The maximum energy transfer occurs when the scattering angle is 180 degrees, resulting in the electron gaining energy equal to the photon energy minus the rest mass energy of the electron. This calculation utilizes the equation λ' - λ = (h/mc)(1 - cos(theta).

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A photon having 20 keV scatters from a free electron at rest. What is the maximum energy that the electron can obtain?

Homework Equations


[itex]\lambda[/itex]' - [itex]\lambda[/itex] = (h/mc)(1-cos(theta)

The Attempt at a Solution


i just don't know where to get started or anythign can someone show me how to do this?
 
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Do you know what happens when the scatter angle is 0 degrees, 90 egrees, and 180 degrees?
 
no that's why i don't get how to do this.
 

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