What is the max E that teh electron can obtain?

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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.